Aspire's Library
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The solution of the differential equation
$\dfrac{dy}{dx} = e^{x - y} + x^2 e^{-y}$ is:
Solution
Given: $\dfrac{dy}{dx} = e^{x - y} + x^2 e^{-y} = e^{-y}(e^x + x^2)$ Multiply both sides by $e^y$: $e^y \dfrac{dy}{dx} = e^x + x^2$ Integrate both sides: $\int e^y dy = \int (e^x + x^2)\,dx$ $\Rightarrow e^y = e^x + \dfrac{x^3}{3} + c$ $\boxed{\text{Answer: (B)}}$Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Ask Your Question or Put Your Review.
