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  • Provide solution for RD Sharma maths class 12 chapter Differential Equation exercise 21.2 question 2

Provide solution for RD Sharma maths class 12 chapter Differential Equation exercise 21.2 question 2

Answers (1)

Answer:

 x\frac{\mathrm{dy} }{\mathrm{d} x}=ylog\: y

Hint:

 Differentiating given equation with respect to x

y = e^{mx} [Applying log both sides]

Given:

 y = e^{mx}

Solution:

\frac{\mathrm{dy} }{\mathrm{d} x}=me^{mx}

\frac{\mathrm{dy} }{\mathrm{d} x}=my

We have,

y = e^{mx}

log\: y=mx

m=\frac{log\: y}{x}

\frac{\mathrm{dy} }{\mathrm{d} x}=\frac{y \: log\: y}{x}

x\frac{\mathrm{dy} }{\mathrm{d} x}={y \: log\: y}

Hence,

x\frac{\mathrm{dy} }{\mathrm{d} x}={y \: log\: y}

is the differential equation corresponding to y = e^{mx}

Posted by

Gurleen Kaur

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