Find the green's function then find the solution y"+4y=x y(0)=0, y'(1)=0

Find the green's function then find the solution

y"+4y=x

y(0)=0, y^'(1)=0

Expert Solution

Colby Messinger answered 1 year ago

Find the green's function and fine the solution y"+4y=x y(0)=0, y'(1)=0

Find y as a function of x if y''''−4y'''+4y''=−128e^{-2x} y(0)=2, y′(0)=9, y″(0)=−4, y‴(0)=16. y(x)=?

FIND THE GENERAL SOLUTION TO THE DE: Y”’ + 4Y” – Y’ – 4Y = 0...

FIND THE GENERAL SOLUTION TO THE DE: Y”’ + 4Y” – Y’ – 4Y = 0 COMPUTE: L {7 e 3t – 5 cos ( 2t ) – 4 t 2 } COMPUTE: L – 1 {(3s + 6 ) / [ s ( s 2 + s – 6 ) ] } SOLVE THE INITIAL VALUE PROBLEM USING LAPLACE TRANSFORMS: Y” + 6Y’ + 5Y = 12 e t WHEN : f ( 0 ) = -...

Find the general solution of the following equations: y′′ −4y′ +4y=0; y′′ −5y′ +6y=0; y′′ −...

Find the general solution of the following equations: y′′ −4y′ +4y=0; y′′ −5y′ +6y=0; y′′ − 2y′ = 0

Find the solution of the given initial value problem. 2y''+y'-4y=0 ; y(0)=0 y'(0)=1

A) Solve the initial value problem: 8x−4y√(x^2+1) * dy/dx=0 y(0)=−8 y(x)= B) Find the function y=y(x) (for...

A) Solve the initial value problem: 8x−4y√(x^2+1) * dy/dx=0 y(0)=−8 y(x)= B) Find the function y=y(x) (for x>0 ) which satisfies the separable differential equation dy/dx=(10+16x)/xy^2 ; x>0 with the initial condition y(1)=2 y= C) Find the solution to the differential equation dy/dt=0.2(y−150) if y=30 when t=0 y=

Maximize objective function P=3x+4y subject to: x + y ≤ 7 x ≥ 0 x+4y ≤...

Maximize objective function P=3x+4y subject to: x + y ≤ 7 x ≥ 0 x+4y ≤ 16 y ≥ 0

find the general solution of y'''-4y''+5y'=e^x

Power series Find the particular solution of the differential equation: (x^2+1)y"+xy'-4y=0 given the boundary conditions x=0,...

Power series Find the particular solution of the differential equation: (x^2+1)y"+xy'-4y=0 given the boundary conditions x=0, y=1 and y'=1. Use only the 7th degree term of the solution. Solve for y at x=2. Write your answer in whole number.

1. The differential equation y''+4y=f(t) and y'(0)=y(0)=0 a. Find the transfer function and impulse response. b....

1. The differential equation y''+4y=f(t) and y'(0)=y(0)=0 a. Find the transfer function and impulse response. b. If f(t)=u(t)-u(t-1). Find the y(t) by convolution and Laplace techniques. u(t) is unit step function. c. If f(t)= cos(t) ; find the y(t) by convolution and Laplace techniques. 2. The differential equation y''+3y'+2y=e^(-3t) and y'(0)=y(0)=0 a. Find the system transfer function and impulse response. b. Find the y(t) by convolution and Laplace techniques. 3. y''+3y'+2y=f(t) and y'(0)=y(0)=0 Plot y(t) without any calculations and write...

Question