Question

Find the general solution of y'=x*sqrt(x+1)

Answer 1

http://www.wolframalpha.com/input/?t=crmtb01&f=ob&i=y%27%3Dx*sqrt(x%2B1)

Answer 2

I think it's integral-by-part

Answer 3

are you trying to solve for x? or looking for the integral?

Answer 4

u=x+1
du=dx

Answer 5

He's solving for y

Answer 6

if he is solving for y the answer stays the same. (I think) unless he wants the inverse of y' which will be \[y^2=x^3+x^2\]

Answer 7

in that case y=\[y=-\frac{ 10(x+1)^3/2}{ 15 }+\frac{ 6(x+1)^5/2 }{ 15 }\]