solve the differential equations

xy'-2y = x^2

my work;

dy/dx = x+ 2y/x

p(x)= 2/x

Q(x)= x^2

integral 2/x = 2lnx

Ae^2lnx

y= (integral e^2lnx)(x^2)/(e^2lnx)

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- Mar 1st 2009, 03:57 PMtwilightstrdifferential equations
solve the differential equations

xy'-2y = x^2

my work;

dy/dx = x+ 2y/x

p(x)= 2/x

Q(x)= x^2

integral 2/x = 2lnx

Ae^2lnx

y= (integral e^2lnx)(x^2)/(e^2lnx) - Mar 1st 2009, 04:05 PMProve It
- Mar 1st 2009, 04:32 PMtwilightstr
[quote=Prove It;274960]Use the integrating factor method.

Divide everything by and the equation becomes

.

The integrating factor is .

how did u get the above step - Mar 1st 2009, 08:55 PMProve It
- Mar 2nd 2009, 04:45 AMHallsofIvy
- Mar 2nd 2009, 12:36 PMProve It