#### Question

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

y = e^{2x} (a + bx)

#### Solution

y = e^{2x} (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?

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.