Question

In: Advanced Math

find the solution of the given initial value problem 1.   y''+4y=t2+3et, y(0) =0, y'(0) =2 2....

find the solution of the given initial value problem

1.   y''+4y=t2+3et, y(0) =0, y'(0) =2

2. y''−2y'+y=tet +4, y(0) =1, y'(0) =1

Solutions

Expert Solution

First differential equation solve Using undetermined coefficient method. Second equation solve Using variation of parameter.

Colby Messinger answered 1 year ago
Next > < Previous

Related Solutions

find the solution of the given initial value problem 1. y''−2y'−3y=3te2t, y(0) =1, y'(0) =0 2....
find the solution of the given initial value problem 1. y''−2y'−3y=3te2t, y(0) =1, y'(0) =0 2.    y''+4y=3sin2t, y(0) =2, y'(0) =-1
Find the solution of the given initial value problem. 2y''+y'-4y=0 ; y(0)=0 y'(0)=1
Find the solution of the given initial value problem. 2y''+y'-4y=0 ; y(0)=0 y'(0)=1
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.
Find the solution of the initial value problem: y'' + 4y' + 20y = -3sin(2x), y(0)...
Find the solution of the initial value problem: y'' + 4y' + 20y = -3sin(2x), y(0) = y'(0) = 0
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.)
Solve the initial value problem: Y''-4y'+4y=f(t) y(0)=-2, y'(0)=1 where f(t) { t if 0<=t<3 , t+2...
Solve the initial value problem: Y''-4y'+4y=f(t) y(0)=-2, y'(0)=1 where f(t) { t if 0<=t<3 , t+2 if t>=3 }
Find the solution to the problem of initial value 2y'''' +3y'''--16''+15y'-- 4y=0 subjected to y(0)= --...
Find the solution to the problem of initial value 2y'''' +3y'''--16''+15y'-- 4y=0 subjected to y(0)= -- 2, y'(0)=6, y''(0)=3, y'''(0)=1/2
Solve the following initial value problem: y'''-4y''+20y'=-102e^3x, y(0)=3, y'(0)=-2, y''(0)=-2
Solve the following initial value problem: y'''-4y''+20y'=-102e^3x, y(0)=3, y'(0)=-2, y''(0)=-2
use laplace transform to solve the initial value problem: y''+4y=3sint y(0)=1, y'(0)=-1
use laplace transform to solve the initial value problem: y''+4y=3sint y(0)=1, y'(0)=-1
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT