Q: Verify that the given relation is an implicit solution for the given problem.
Problem:
y dy/dx = 2x(1+y) , y = x^2 + ln(1+y)
which is in the book.
So obviously, it's separable.
(ydy)/(1+y) = 2x dx
The right side is cake when taking the integral... its the left side thats messing me up and causing me to not get the right answer, when solving for y.
Left side is integration by parts... which is what I've tried. Any help on getting to that implicit answer would be appreciated. THanks.
Problem:
y dy/dx = 2x(1+y) , y = x^2 + ln(1+y)
which is in the book.
So obviously, it's separable.
(ydy)/(1+y) = 2x dx
The right side is cake when taking the integral... its the left side thats messing me up and causing me to not get the right answer, when solving for y.
Left side is integration by parts... which is what I've tried. Any help on getting to that implicit answer would be appreciated. THanks.