Class 12

Math

Calculus

Differential Equations

A curve passing through (2, 3) and satisfying the differential equation ∫x0ty(t)dt=x2y(x),(x>0) is

- x2+y2=13
- y2=92x
- x28+y218=1
- xy=c

**Correct Answer: ** Option(d)

**Solution: **[d] Differentiate xy(x)=x2y′(x)+2xy(x) or xy(x)+x2y′(x)=0 or xdydx+y=0 or lny+lnx=lnc or xy=c