How do we solve separable differential equations with initial conditions? Here we will do 6 initial value problems of differential equations by separating the variables. This is meant to be an introduction to differential equations for calculus 2 students so we won't get into too many details.
0:00 how to solve separable differential equations
0:24 Q1, dy/dx=cos(x)*sqrt(y+1)
*at 3:57, it should be sin(pi) instead of sin(0)*. But sin(0)=sin(pi)=o so the computation is okay.
5:04 Q2, dy/dx=e^y/(x^2+1)
8:25 Q3, dy/dx=xy+2x+y+2
13:44 Q4, dy/dx=yln(y)
17:58 Q5, dy/dx=x*cos^2(y)+cos^2(y)
20:47 Q6 dy/dx=y+y^2
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