Question1

Question1:

Since , is the solution of linear differential homogeneous equation.

We Will Write a Custom Essay Specifically
For You For Only $13.90/page!


order now

We Will Write a Custom Essay Specifically
For You For Only $13.90/page!


order now

Question 2:
, and
A solution of the above differential equation is:
………. (2)
On substituting in the above differential equation, we have
Or
Since cannot be zero,

The general solution is:

Given and , thus
and
From above two equations, we have
and
Thus, the solution is:

Question 3:
, ,
A solution of the above differential equation is:
………. (2)
On substituting in the above differential equation, we have
Or
Since cannot be zero,

The general solution is:

Given that ,
and
From above two equations, we have
and
Thus, the general solution is:

Question 4:

This is in the form of second order Euler Cauchy equation
Let ; ;
Substituting above values into original equation we get

Auxiliary equation is:

Solution of given equation is:

Question 5:

; ,
Let us suppose solution to this Euler Cauchy equation is:

Substituting in the above differential equation, we have

Since we assume ; the polynomial is zero.

The general solution of the above equation is:

As given, ,
and

From above two equations, we have
And
Thus, the general solution of the differential equation is:

x

Hi!
I'm Dora

Would you like to get a custom essay? How about receiving a customized one?

Check it out
x

Hi!
I'm Barry!

Would you like to get a custom essay? How about receiving a customized one?

Check it out