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did you get that problem from the other day sorted out?

y" +y =t*e^t iirc?

but that is apparently wrong

iirc? what does that mean?

if I recall correctly

\[r_1=r_2=\pm1i\]

\[y_c=c_1cosx+c_2sinx\]

\[W(y_1,y_2)=cos^2x+sin^2x\]

nice!
\[y_p=-cosx\int sinxsec^2xdx+sinx \int cosxsec^2xdx\]

so far so good?

yes

\[y=y_c+y_p=c_1cosx+c_2sinx-cosxsecx+\int cosxsec^2xdx\]

missing a 'sin' on that last term...

@mathsofiya , check integration seems incomplete

lol

@Algebraic! , didnt really see the reason for "lol", there are couple of things missing here

"integration seems incomplete"

what tipped you off?

here I thought you were making a funny and you were somehow serious...

where's a sine missing?

sinx∫cosxsec^2x dx -> ∫cosxsec^2x dx

very true
\[y=y_c+y_p=c_1cosx+c_2sinx-cosxsecx+sinx\int cosxsec^2xdx\]

most people use ln(tan(x) +sec(x)) for brevity

programs always give the other form of the answer; not sure why, probably to confound students.