Engineering Board Exam Reviewer · Variable Separable Equations · easy

Solve: dy/dx=x/y

1. y2=x2+C
2. y=x+C
3. y2=2x2+C
4. xy=C

Answer

A. y2=x2+C

Solution

Separating variables: y,dy=x,dx y2/2=x2/2+C1 y2-x2=C.

More Variable Separable Equations questions

1. Solve: dy/dx=2xy
2. Solve the differential equation (1+x),dy-y,dx=0.
3. Solve y'=y2, given y(0)=1.
4. Solve dy/dx=x2+1/y, given y(0)=2.
5. Solve: (x2+1),dy=xy,dx
6. Solve: dy/dx=ex-y
7. Solve: y,dy+x,dx=0

All Variable Separable Equations questions