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Form a Differential Equation Representing the Given Family of Curves by Eliminating Arbitrary Constants a and B. Y = E2x (A + Bx) - CBSE (Commerce) Class 12 - Mathematics

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Question

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

y = e2x (a + bx)

Solution

y = e2x (a + bx) ...(1)

Differentiating both sides with respect to x, we get:

This is the required differential equation of the given curve.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 9: Differential Equations
Q: 4 | Page no. 391
Solution Form a Differential Equation Representing the Given Family of Curves by Eliminating Arbitrary Constants a and B. Y = E2x (A + Bx) Concept: Formation of a Differential Equation Whose General Solution is Given.
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