Solve the following differential equations: 1. x"(t)+ x(t)=6sin(2t) ; x(0)=3, x'(0)=1 2.y"(t)- y(t)=4cos(t) ; y(0)+0 ,...

Solve the following differential equations:

1. x"(t)+ x(t)=6sin(2t) ; x(0)=3, x'(0)=1

2.y"(t)- y(t)=4cos(t) ; y(0)+0 , y'(0)=1

Expert Solution

Colby Messinger answered 7 months ago

Solve the following differential equations: 1.) y"(x)+ y(x)=4e^x ; y(0)=0, y'(0)=0 2.) x"(t)+3x'(t)+2x(t)=4t^2 ; x(0)=0, x'(0)=0

Solve the following differential equations: 1.) y"(t)- 6 y'(t)+9 y(t)=6t^2e^(3t) ; y(0)=y'(0)=0 2.)x"(t)+4x(t)=t +4 ; x(0)=1...

Solve the following differential equations: 1.) y"(t)- 6 y'(t)+9 y(t)=6t^2e^(3t) ; y(0)=y'(0)=0 2.)x"(t)+4x(t)=t +4 ; x(0)=1 , x'(0)=0

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Differential Equations 22. Solve each of the following systems of equations. (c) (D-2)x=0; -3x+(D+2)y=0; -2y+(D-3)z=0 I...

Differential Equations 22. Solve each of the following systems of equations. (c) (D-2)x=0; -3x+(D+2)y=0; -2y+(D-3)z=0 I got x=c1e2t, y= 3/4 C1e2t + C2e-2t by using diffieq method d/dx(ye2t) = 3C1e2t....., but the right answer is x=4c1e2t, y= 3C1e2t + 5C2e-2t , z= -6C1e2t -2C2e-2t+C3e3t I want to know where 4 came from, and please do not use matrix system.

Question

Solve the following differential equations: 1. x"(t)+ x(t)=6sin(2t) ; x(0)=3, x'(0)=1 2.y"(t)- y(t)=4cos(t) ; y(0)+0 ,...

Solutions

Expert Solution

Related Solutions

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