The solution of differential equation $\frac{d y}{d x}=e^{x-y}+x^2 e^{-y}$ is
The solution of differential equation $\frac{d y}{d x}+\frac{2 x y}{1+x^2}=\frac{1}{\left(1+x^2\right)^2}$ is
The degree of the differential equation $\frac{d^2 y}{d x^2}+e^{d y / d x}=0$ is ............ .
Given differential equation is
$$\frac{d^2 y}{d x^2}+e^{\frac{d y}{d x}}=0$$
Degree of this equation is not defined.
The degree of the differential equation $\sqrt{1+\left(\frac{d y}{d x}\right)^2}=x$ is ................. .
Given differential equation is $\sqrt{1+\left(\frac{d y}{d x}\right)^2}=x$
So, degree of this equation is two.
The number of arbitrary constants in the general solution of a differential equation of order three is .......... .
There are three arbitrary constants.