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Differential Equations
Page 8
Questions (803)
(x^2+1) y^''+2xy^'=0
Solve for two power series solution about ordinary point x=0
2 answers
asked by
ijat
731 views
Solve
x^3y^'''+5x^2y^''+7xy^'+8y=t+e^(-t)
3 answers
asked by
ijat
592 views
Solve the differential equation y'=3t^2+4. Solve the initial value problem y(0)=3.
Separation of variables! My work: dy/dt=
2 answers
asked by
Sarah
584 views
I need help in solving an initial-value problem and a few series problems (Especially on #45 & #46). I don't really understand
1 answer
asked by
Erin
540 views
Separate the following partial differential equation into a set of three ODEs by the method of separation of variables:
d^2u/dt^2
1 answer
asked by
gourav
455 views
Show that :(I) u = e^xsiny is a solution of Laplace's equation.
(ii) u = x^2+t^2 is a solution of the wave equation.
1 answer
asked by
gourav
406 views
Solve the initial value problem.
d^2x/dt^2+2dx/dt-3x =0, x(2π) = 1, x(2π) = 13
1 answer
asked by
gourav
439 views
Show that : (I) u = e^xsiny is a solution of Laplace's equation.
(ii) u= x^2+t^2 is a solution of the wave equation.
1 answer
asked by
gourav
468 views
Solve the initial initial value problem
d^2x/dt^2+2DX/dt-3x =0, x(2π) = 0, x(2π) = 13
1 answer
asked by
gourav
468 views
Separate the following partial differential equation into a set of three ODEs by the method of separation of variables.
d^2/dt^2
1 answer
asked by
gourav
425 views
Show that :(i) u=e^xsiny is a solution of Laplace's equation.
(ii) u= x^2+t^2 is a solution of the wave equation.
1 answer
asked by
gourav
454 views
Solve the following ODE using the power series method
(1-x^2)y"-2xy'+2y=0
1 answer
asked by
gourav
478 views
Solve the following ODE using the power series method
(1-x^2)y"-2xy'+2y = 0
1 answer
asked by
gourav
432 views
Solve the differential equation
y'= radical(x)/(-3y) i made y' dy/dx and moved the y's to one side and the x's to the other, and
1 answer
asked by
Anon
357 views
Let dy/dx=xy . Use Euler's method with step size of 0.5 and the initial condition of y(0) = 3 to estimate y(2).
I really am not
7 answers
asked by
Jane
1,082 views
Which of these equations have an equilibrium solution. What are they? How are their DE's different?
dy/dx=6y-y^2 dy/dx 15-3y
1 answer
asked by
Francine
321 views
Suppose further that the population’s rate of change is governed by the differential equation
dP/dt = f(P) where f (P) is the
2 answers
asked by
Dana
686 views
Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t
2 answers
asked by
Bridget
560 views
(a) Let S be the set of solutions y(t) to the differential equation dy/dt = -y for t> 0. With addition and scalar multiplication
1 answer
asked by
Cam
475 views
Solve the initial value problem y' = y^2, y(0) = 1 and determine the interval where the solution exists. I understand how the
1 answer
asked by
Anonymous
469 views
Classify the following differential equations as linear or nonlinear:
3x' +5x=7t^2 4x^2+2x+5tx=0
2 answers
asked by
Connor
484 views
Find the general solution of the differential equation dy/dx-4y= -5y^2
2 answers
asked by
Cam
561 views
(x^2+1)dx+x^2y^2dy=0
need help:)..thanks.
1 answer
asked by
Alyanna
267 views
A large cylinrical tankor radius 40cm contins a liquid and at time,t the depth is h cm. There is a hole in the bottom and liuid
1 answer
asked by
Thomas
393 views
A patient receives a 3 ml dose of medicine. The amount, y, of medicine in the body decreases at a rate of 15% per hour
4 answers
asked by
Anon
681 views
Write a deferential equation describing the given situation.
The rate at which the concentration of a drug in the bloodstream
2 answers
asked by
Rebekah
488 views
At time t = 1,a particle is located at position (x, y) = (4, 3).
If it moves in the velocity field F(x, y) = xy − 2, y^2 − 11
2 answers
asked by
hyuyre
763 views
The deformation y(t) of heart muscle from its rest position after t seconds can be modelled as a spring-mass system, described
2 answers
asked by
Joey
476 views
1)
x = 1/t ... x^5 d^2z/dx^2 + (2x^4 - 5x^3) dz/dx +4xz = 6x +3 can be reduced to.... d^2z/dt^2 + 5 dz/dt + 4z = 3t+6 2) use the
2 answers
asked by
Kerry-Ann English
329 views
Use the existence and uniqueness theorem to determine where solutions will exist and be unique for the differential equation:
dy/
1 answer
asked by
Sharon
388 views
Solve dy/dx = y/(2y-x) using rational substitution (using v=y/x) with the initial condition y(0)=1.
I solved this problem and
2 answers
asked by
Liz
648 views
Solve the initial value problem using Taylor Series and the following conditions: y'(t) = y(t) + 2t y(0) = A
1 answer
asked by
Xavier
390 views
I'm having trouble solving this problem:
For the equation x^(2)y′′ - xy′ = 0 , find two solutions, show that they are
2 answers
asked by
Student
507 views
I'm given y''= sin(x) with the initial conditions of y(0)=0 and y'(0)=2. I've already taken the integral two times to get an
1 answer
asked by
Student
434 views
Use the Laplace Transform to solve this initial value problem.
y'''' - 8y = 0, y'(0)=63, y''(0)=216, y'''(0)=297 I would really
3 answers
asked by
Emily
484 views
Solve the following initial value problem:
dr/dt=7cos(pi(t)), r(1/4)=14 r(t)=?
1 answer
asked by
Max
367 views
Have a tough time understanding calculus , in need of help please, appreciate you in advance <3
(i) Find the general solution of
2 answers
asked by
maylin
217 views
pls solve 4 v and explain
(h^2.v"(x))/v(x))=h^2.a^2 where . denotes d multiplication sign plz help i dont know
1 answer
asked by
danu
368 views
1) What are the equilibrium solutions to the differential equation and determine if it is stable or unstable with the initial
1 answer
asked by
Karen
830 views
Derive 3D general conduction equation for homogeneous material
1 answer
asked by
jigs
293 views
Find the complete general solution to the 2nd ODE:
9y'' + 9y' - 4y = 0
4 answers
asked by
Elyse
417 views
Find the complete general solution and a particular solution that satisfies the initial conditions:
2y'' + y' - 4y = 0 y(0)=0,
1 answer
asked by
Elyse
362 views
Find a general solution to the first – degree ordinary differential equation. If an initial condition is given, find the
2 answers
asked by
Elyse
1,046 views
Find a general solution to the first – degree ordinary differential equation. If an initial condition is given, find the
1 answer
asked by
Sara
444 views
Find a general solution to the first – degree ODE. If an initial condition is given, find the corresponding particular
1 answer
asked by
Sara
380 views
Suppose tank A consist of 500 liter brine with 500gm salt dissolved in it, whereas in tank B containing 500 liter of water.
2 answers
asked by
cecyl
632 views
Consider the following second order differential equation:
y"-2x^(2)y+y^(3)=17cos(4x) with y(0)=4 , y'(0)=-9 If we let u=y and
1 answer
asked by
mahdi
385 views
solve this differential equation:
dy/dt=0.06y(600-y) y(0)=10 y(t)=?
1 answer
asked by
Maily
414 views
show that y sub n=cos(ncos^-1(x)) satisfies the differential equation:
(1-x^2)(d^2y/dx^2)-x(dy/dx)+n^2(dy/dx)=0
1 answer
asked by
shoosh
359 views
using Method of variation of parameter
y''+y = tan^2 t
1 answer
asked by
deq
340 views
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