Solve the following initial value problem. y(4) − 5y′′′ + 4y′′ = x, y(0) = 0, y′(0) ...

Solve the following initial value problem.

y⁽⁴⁾ − 5y′′′ + 4y′′ = x, y(0) = 0, y′(0) = 0, y′′(0) = 0, y′′′(0) = 0.

Expert Solution

milcah answered 2 years ago

Solve the initial value problem: y'' + 4y' + 4y = 0; y(0) = 1, y'(0)...

Solve the initial value problem: y'' + 4y' + 4y = 0; y(0) = 1, y'(0) = 0. Solve without the Laplace Transform, first, and then with the Laplace Transform.

Solve the given initial-value problem. y'' + 4y' + 4y = (5 + x)e^(−2x) y(0) =...

Solve the given initial-value problem. y'' + 4y' + 4y = (5 + x)e^(−2x) y(0) = 3, y'(0) = 6 Arrived at answer y(x)=3e^{-2x}+12xe^{-2x}+(15/2}x^2e^{-2x}+(5/6)x^3e^{-2x) by using variation of parameters but it was incorrect.

Solve the differential equation. y'''-4y''+5y'-2y=0 Initial Conditions: y(0)=4 y'(0)=7 y''(0)=11

Solve the initial value problem: 4y''+12y'+9y=0 y(0)=1, y'(0)=-4 a. Using the characteristic equation of the above....

Solve the initial value problem: 4y''+12y'+9y=0 y(0)=1, y'(0)=-4 a. Using the characteristic equation of the above. b. Using Laplace transform.

Solve the following initial value problem: y'''-4y''+20y'=-102e^3x, y(0)=3, y'(0)=-2, y''(0)=-2

Consider the following initial value problem. y''−4y = 0, y(0) = 0, y'(0) = 5 (a)...

Consider the following initial value problem. y''−4y = 0, y(0) = 0, y'(0) = 5 (a) Solve the IVP using the characteristic equation method from chapter 4. (b) Solve the IVP using the Laplace transform method from chapter 7. (Hint: If you don’t have the same ﬁnal answer for each part, you’ve done something wrong.)

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...

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(3 pts) Solve the initial value problem 25y′′−20y′+4y=0, y(5)=0, y′(5)=−e2. (3 pts) Solve the initial value...

(3 pts) Solve the initial value problem 25y′′−20y′+4y=0, y(5)=0, y′(5)=−e2. (3 pts) Solve the initial value problem y′′ − 2√2y′ + 2y = 0, y(√2) = e2, y′(√2) = 2√2e2. Consider the second order linear equation t2y′′+2ty′−2y=0, t>0. (a) (1 pt) Show that y1(t) = t−2 is a solution. (b) (3 pt) Use the variation of parameters method to obtain a second solution and a general solution.

use laplace transform to solve the initial value problem: y''+4y=3sint y(0)=1, y'(0)=-1

Solve the following initial value problem using the undetermined coefficient technique: y'' - 4y = sin(x),...

Solve the following initial value problem using the undetermined coefficient technique: y'' - 4y = sin(x), y(0) = 4, y'(0) = 3

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