Solve y'(0)=Ay y(0) =v A=(7,-5;10,-8) v=(2;3)

Expert Solution

Colby Messinger answered 1 year ago

Solve the differential equation Y’(t) = AY(t), with initial condition Y(0) = [1;0] (a 2x1 matrix);...

Solve the differential equation Y’(t) = AY(t), with initial condition Y(0) = [1;0] (a 2x1 matrix); where A = [ 9 , 5 ; -6 , -2 ]. Then, using Euler’s method with step size h=.1 over [ 0 , .5 ] fill in the table with header where the 2x1 matrix Yi is the approximation of the exact solution Y(ti) : t Yi Y(ti) ||Y(ti) – Yi ||

solve this equation y''-6y'+8y=1 when y(0)=1, y'(0)=7

Solve y′′ + 4y′ + 3y = 15e^2t given y(0) = −7,y′(0) = 16 by the...

Solve y′′ + 4y′ + 3y = 15e^2t given y(0) = −7,y′(0) = 16 by the method of Laplace transforms.

y"-3y'+2y=4t-8 , y(0)=2 , y'(0)=7 y(t)=?

y'' + 16y = (8)(cos(4t)) y0)= 0 y'(0)= 8 Use Laplace Transforms to solve. Sketch the...

y'' + 16y = (8)(cos(4t)) y0)= 0 y'(0)= 8 Use Laplace Transforms to solve. Sketch the solution or use matlab to show the graph.

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

y'' + 16y = (8)(cos(4t)) y(0)=y'(0)= 0 Use Laplace Transforms to solve. Sketch the solution or...

y'' + 16y = (8)(cos(4t)) y(0)=y'(0)= 0 Use Laplace Transforms to solve. Sketch the solution or use matlab to show the graph.

y(4)+18y''+81y=0 y(0)=2, y'(0)=8, y''(0)=0, y'''(0)=−108 Note; y(4) is the 4th derivative of y Solve the initial value problem y(t)=...

y(4)+18y''+81y=0 y(0)=2, y'(0)=8, y''(0)=0, y'''(0)=−108 Note; y(4) is the 4th derivative of y Solve the initial value problem y(t)= ?

Use the Laplace transform to solve the following initial value problem: y′′−3y′−28y=δ(t−7) y(0)=0, y′(0)=0 y(t)=

Solve y'''-4y'=32xe2x-24x2 , y(0)=0 y'(0)=0 y''(0)=-1

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