Type 2 : To Verify Solution of Differential Equation

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SN	Problem	Solution video	Solution Image
1	What is to verify solution of D.E ?
2	Verify that $y=cosx$ is the solutions of $\frac{d^2y}{dx^2}+y=0$
3	Verify that $y=logx$ is solution of $x.=\frac{d^2y}{dx^2} + \frac{dy}{dx} = 0$
4	Show that $y=ae^x + b.e^-x$ is solution of $\frac{d^2y}{dx^2} = y$
5	Show that $y = sin(logx)$ is a solution of $x^2. \frac{d^2y}{dx^2} + x. \frac{dy}{dx} + y = 0$
6	Show that $y = e^x - e^-x$ is solution of $\frac{d^2y}{dx^2} - y = 0$
7	Verify that $y.sec^2x = secx + c$ is the solution of $\frac{dy}{dx} + 2y..tanx = sinx$
8	Verify that $y^2 = ax^2$ is the solution of $x. (\frac{dy}{dx})^2 - 2y. \frac{dy}{dx} + ax = 0$

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