K. C. Sinha Solutions for Chapter: Differential Equations - I, Exercise 1: EXERCISE

Find the order and the degree of differential equation: $\frac{dy}{dx}=e^x$

Find the order and degree of differential equation ${\left(\frac{ds}{dt}\right)}^4+3s\frac{d^{2}s}{d{t}^2}=0$

Find the order and degree of differential equation $\frac{d^{3}y}{d{x}^3}+2{\left(\frac{d^{2}y}{d{x}^2}\right)}^2-\frac{dy}{dx}+y=0$

Find the order and degree of differential equation ${\left(\frac{d^{2}y}{d{x}^2}\right)}^3+{\left(\frac{dy}{dx}\right)}^2+\sin \left(\frac{dy}{dx}\right)+1=0$

Find the order and degree of differential equation $y^{\text{'}\text{'}\text{'}}+y^2+e^{y^{\text{'}}}=0$

Find the order and degree of differential equation $\log \left(1+\frac{dy}{dx}\right)=\frac{dy}{dx}$.

Find the order and degree of differential equation $\frac{d^{2}y}{d{x}^2}+3\frac{dy}{dx}=y\sin \left(\frac{d^{2}y}{d{x}^2}\right)$

Find the order and degree of differential equation $\frac{d^{3}y}{d{x}^3}-2\sin \left(\frac{d^{3}y}{d{x}^3}\right)=0$