Question

Use the z-transform method to solve the following difference equation: y[n + 2) = 3y[n + 1] – 2y[n], y[0] = 5, y[1] = 0)

Answer #1

Use the Laplace Transform method to solve the following
differential equation problem: y 00(t) − y(t) = t + sin(t), y(0) =
0, y0 (0) = 1
Please show partial fraction steps to calculate
coeffiecients.

Use method of Laplace transforms to solve and explaine step by
step the following differential equation:
2y''+3y'-2y=te-2t with y(0)=0 and y'(0)=2.
Can we do this using partial fractions? if so, how? Thank you so
much!

Laplace Transform of y"+3y'+2y=0 , y(2)=1 , y'(0)=0

Use the method for solving homogeneous equations to solve the
following differential equation.
(9x^2-y^2)dx+(xy-x^3y^-1)dy=0
solution is F(x,y)=C, Where C= ?

Solve the differential equation by using variation of parameter
method
y^''+3y^'+2y = 1/(1+e^2x)

Use Laplace transform to solve the following initial value
problem: y '' − 2y '+ 2y = e −t , y(0) = 0 and y ' (0) =
1
differential eq

use
the laplace transform to solve the following equation
y”-6y’+9y = (t^2)(e^(3t))
y(0)=2
y’(0)=17

Solve the IVP using the Eigenvalue method.
x'=2x-3y+1
y'=x-2y+1
x(0)=0
y(0)=1
x'=2x-3y+1
y'=x-2y+1
x(0)=0
y(0)=1
Solve
the IVP using the Eigenvalue method.
x'=2x-3y+1
y'=x-2y+1
x(0)=0
y(0)=1

In Exercises 16-25, use any method to solve each nonhomogeneous
equation.
y'''+3y''+2y'=cos(t)
Answer is apparently y=(1/10)
sin(t)-(3/10)cos(t)+c1e^(-2t)+c2e^(-t)+c3

Use
Laplace transform to solve IVP
2y”+2y’+y=2t , y(0)=1 , y’(0)=-1

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