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We are going to solve this differential equation.
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And then we're going to use the initial condition that we're given to plug in, and we're going to find the value of c.
00:07
And we're going to get a c because we're going to be taking the indefinite integral.
00:11
So this condition will allow us to find that and get a more exact answer.
00:17
So when we have a separable differential equation, the first thing that you do is make sure that the different variables that you have are an opposite size of the equal sign.
00:25
So our two variables here are y and x.
00:27
So an easy way to get the variable separated is to multiply by dx here.
00:33
So when we do that we get d y is equal to 8x to the third plus 3x squared dx.
00:50
And so now that we've got the variable separated, we're ready to take the integral of both sides.
00:55
So i'm just going to write that...