Question

Solve the differential equation 4 dy/dx=((e^y)sin^2x)/(ysecx).

Answer 1

I got the answer e^-y*(-4y-4) = (1/3)*(sin(x))^3 + C

However, it does not appear to be correct.

Answer 2

\[4\frac{dy}{dx}= \frac{e^y sin^2x}{y secx}\] right?

Answer 3

yes

Answer 4

\[4\dfrac{y}{e^y} dy = sin^2x cos x dx\]
take integral both sides.

Answer 5

\[-4\dfrac{y+1}{e^y}= \frac{sin^3x}{3} + C\]

Answer 6

That's exactly the answer that I got.

Answer 7

so, why do you make question on your correct answer?

Answer 8

Did I enter something wrong?

Answer 9

yes, you did. (sin x)^3 not sin (x)^3

Answer 10

but I also tried sin^3(x) and it did not work.

Answer 11

oh yes, you should put theta, not x

Answer 12

okay, got it thanks.

Answer 13

ok