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  • Need solution for RD Sharma maths class 12 chapter Differential Equation exercise 21.2 question 4

Need solution for RD Sharma maths class 12 chapter Differential Equation exercise 21.2 question 4

Answers (1)

Answer:

 \frac{\mathrm{d} ^{2}y}{\mathrm{d} x^{2}}-4y=0

Hint:

 Differentiating the given equation in first and second order

Given:

 y=Ae^{2x}+Be^{-2x}

Solution:

y=Ae^{2x}+Be^{-2x}

\begin{aligned} &\frac{\mathrm{d} y}{\mathrm{d} x}=2Ae^{2x}-2Be^{-2x} \\ &\frac{\mathrm{d} ^{2}y}{\mathrm{d} x^{2}}=4Ae^{2x}+4Be^{-2x} \\ &\frac{\mathrm{d} ^{2}y}{\mathrm{d} x^{2}}=4y \\ &\frac{\mathrm{d} ^{2}y}{\mathrm{d} x^{2}}-4y=0 \end{aligned}

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Gurleen Kaur

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