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Find the general solution of the given differential equation.x2(dy/dx) + x(x+2)y = exDetermine whether there are any transient terms in the general solution.

Question

Find the general solution of the given differential equation.

x2(dy/dx) + x(x+2)y = ex

Determine whether there are any transient terms in the general solution.

check_circleAnswer
Step 1

The differential equation is x2(dy/dx) + x...

The differential equation
can be rewrite as follows.
dy
+(r2)y =
dx
e*
2.
dy
x2
dx
q(x)dx +C
The general solution of the equation is y(x)
eJAc
Here, p(rX +2 and q(x)=
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The differential equation can be rewrite as follows. dy +(r2)y = dx e* 2. dy x2 dx q(x)dx +C The general solution of the equation is y(x) eJAc Here, p(rX +2 and q(x)=

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