Find the solution. y'' + 2y' + 0.75y = 2cosx - 0.25sinx + 0.09x , y(0)...

Find the solution.

y'' + 2y' + 0.75y = 2cosx - 0.25sinx + 0.09x , y(0) = 2.78 , y'(0) = -0.43

Expert Solution

milcah answered 1 year ago

if y(t) is the solution of y′′+2y′+y=δ(t−3),y(0)=0,y′(0)=0 the find y(4)

Find a power series solution of this ODE: y''+x^2y'=0 ; y(0)=1 y'(0)= 2

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

Find the solution of the initial value problem y′′−2y′−3 y=15te2t, y(0)=2, y′(0)=0.

find the solution of the given initial value problem. y′′−2y′−3y=3te^2t y(0)=1 y′(0)=0

Use ‘Reduction of Order’ to find a second solution y2 to the given ODEs: (a) y′′+2y′+y=0,...

Use ‘Reduction of Order’ to find a second solution y2 to the given ODEs: (a) y′′+2y′+y=0, y1 =xe−x (b) y′′+9y=0, y1 =sin3x (c) x2y′′+2xy′−6y=0, y1 =x2 (d) xy′′ +y′ =0, y1 =lnx

2. Find the general solution to the differential equation x^2y''+ y'+y = 0 using the Method...

2. Find the general solution to the differential equation x^2y''+ y'+y = 0 using the Method of Frobenius and power series techniques.

find the solution to the differential equation. d^2y/dt^2 - 7dy/dt=0, y(0)=4, y'(0)=7

y''' + 2y'' − y' − 2y = sin(4t), y(0) = 0, y'(0) = 0, y''(0) = 1

find a particular solution to y"-2y'+y=-12.5e^t

Question