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?
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.