find the solution that fulfills
please take me through the steps cause i dont know where to start all i can see is that it is separable and i didnt get how to solve it by reading in the book or solving the easier ones
find the solution that fulfills
please take me through the steps cause i dont know where to start all i can see is that it is separable and i didnt get how to solve it by reading in the book or solving the easier ones
like that or?
feels like im wrong cause i never really understood what you do when you take the dy/dx and take *dy on both sides so you get dy on left side and dx on right side etc.
cause i dont see how dy and dx just can move around since dy/dx=y'
$\displaystyle \int e^{2y}\,\mathrm dy = \int x+x^3\,\mathrm dx$
$\displaystyle \Rightarrow\ \frac{e^{2y}}2 = \frac{x^2}2 + \frac{x^4}4 + C$
Now substitute $\displaystyle x=0,y=0$ to find the constant $\displaystyle C.$