MCQ
$\frac{{{d^3}y}}{{d{x^3}}} + 2\,\left[ {1 + \frac{{{d^2}y}}{{d{x^2}}}} \right] = 1$ has degree and order as
- ✓$1, 3$
- B$2, 3$
- C$3, 2$
- D$3, 1$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
$\left[\frac{x}{\sqrt{x^{2}-y^{2}}}+e^{\frac{y}{x}}\right] x \frac{d y}{d x}=x+\left[\frac{x}{\sqrt{x^{2}-y^{2}}}+e^{\frac{y}{x}}\right] y$
pass through the points $(1,0)$ and $(2 \alpha, \alpha), \alpha>0$.
Then $\alpha$ is equal to