please solve the following excersise
Exercise 2

Given L- f(t), find L- -1 F(s):
6(s+1)/s^4
(3s+4)/(s^2+4s+5)

Solve by Laplace transform:

y'' + 7y' + 12y = 21e^3t, y(0) = 3.5, y'(0) = -10

Solve the ODE system by using Laplace transform:
y'1=-y1+4y2
y'2=3y1-2y2
y1 (0)=3, y2 (0)=4

Use the power series to solve this ODE y'=-2xy

Find Fourier coefficients of the periodic function f(x)

f(x)=X^2 x

Question

please solve the following excersise 
Exercise 2 

	Given L-   f(t), find L-  -1 F(s):
	     6(s+1)/s^4 
	      (3s+4)/(s^2+4s+5)

	Solve by Laplace transform:

y'' + 7y' + 12y = 21e^3t,       y(0) = 3.5,        y'(0) = -10

	Solve the ODE system by using Laplace transform:
y'1=-y1+4y2
    y'2=3y1-2y2
y1 (0)=3,    y2 (0)=4


	Use the power series to solve this ODE y'=-2xy 

	Find Fourier coefficients of the periodic function f(x)

f(x)=X^2       x<0<

	Find the type of the following PDE: