GATE (TF) Textile 2020 Question Paper Solution | GATE/2020/TF/02

Question 02 (Textile Engineering & Fibre Science)
Q.2 The integrating factor of the differential equation \frac{dy}{dx} + y = e^{-x} is
(A)e^{x}
(B)e^{-x}
(C)xe^{-x}
(D)xe^{x}
[Show Answer]

Write Here

\frac{dy}{dx} + y = e^{-x}

Compare with equation \frac{dy}{dx} + Py = Q

Where P and Q are the function of x ,P=1 and Q=e^{-x}

Integrating factor=e^\int{P} dx

Integrating factor=e^\int{1} dx

Integrating factor=e^x

Previous Question
Next Question
Frequently Asked Questions | FAQs
GATE Textile Engineering and Fibre Science (TF) Question Papers | GATE Textile Question Answer | GATE Textile Solved Question Papers | GATE Textile Papers | GATE Textile Answer Key