Engineering Board Exam Reviewer · Variable Separable Equations · medium
Find the general solution of dy/dx=xy2.
- y = 2C + x2
- y = - 2C + x2
- y = C e x22
- 1/y = C + x22
Answer
B. y = - 2C + x2
Solution
dy/y2=x,dx - 1y=x2/2+c y=-2/x2+C.
More Variable Separable Equations questions
- Find the general solution of dy/dx=1+y2/1+x2.
- Find the general solution of (1+x2)dy/dx=xy.
- Find the general solution of dy/dx=ex-y.
- Find the general solution of dy/dx=y/x.
- Find the general solution of dy/dx=3x2y.
- Solve: dy/dx=x/y
- Solve: dy/dx=2xy
- Solve the differential equation (1+x),dy-y,dx=0.
- Solve y'=y2, given y(0)=1.
- Solve dy/dx=x2+1/y, given y(0)=2.