Teaching DSSSB TGT Mock Test 2025 Mathematics Differential Equations Solution of Differential Equations
The general solution of \(\rm \frac{dy}{dx}=1+x^2+y^2+x^2y^2\) is:
(given that C is the constant of integration)
1
\(\rm \tan^{-1}x=y+\frac{y^3}{3}+C\)
2
\(\rm \tan^{-1}y=x+\frac{x^3}{3}+C\)
3
tan-1 x = tan-1 y + C
4
tan-1 x + tan-1 y = C