Embibe Experts Solutions for Chapter: Differential Equation, Exercise 1: SRMJEEE (UG) 2015

The order and degree of the differential equation ${\left(1+3\frac{dy}{dx}\right)}^{\frac{2}{3}}=4\frac{d^{3}y}{d{x}^3}$ are equal to

The solution of the equation $\frac{d^{2}y}{d{x}^2}=e^{-2x}$ is

The differential equation of the family of curves $x^2+y^2-2ay=0,$ where $a$ is an arbitrary constant is

A solution of $y=2x\left(\frac{dy}{dx}\right)+x^2{\left(\frac{dy}{dx}\right)}^4$ is

The solution of the differential equation $\frac{d^{2}x}{d{t}^2}+x=0; x\left(0\right)=1, x^{\text{'}}\left(0\right)=0$ is

The solution of the differential equation $\frac{dy}{dx}=\frac{x+y}{x}$ satisfying $y\left(1\right)=1$ is