Now we isolate y.
y^3 = 3ex + C
y =
Now we solve for C. We plug in x = 0 and y = 1.
1 =
C = −2
Therefore, the equation is y = .
- y = 2x^2
We solve this differential equation by separation of variables. We want to get all of the y
variables on one side of the equals sign and all of the x variables on the other side. We can do
this easily by dividing both sides by y^2 and multiplying both sides by dx. We get = .
Next, we integrate both sides.
Now we isolate y.
Now we solve for C. We plug in x = 1 and y = 2.
C = 0
