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Find the Equation of a Curve Passing Through the Point (0, 0) and Whose Differential Equation is Y′ = E X Sin X. - Mathematics

Find the equation of a curve passing through the point (0, 0) and whose differential equation is y′ = e x sin x.

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Solution

The differential equation of the curve is:

Hence, the required equation of the curve is `2y - 1 = e^x(sin x - cos x)`

 
Concept: Methods of Solving First Order, First Degree Differential Equations - Differential Equations with Variables Separable Method
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Chapter 9: Differential Equations [Page 396]
Q 15
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NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 15 | Page 396
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