GATE_AE_2027_MOCK_03_Q14 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) NAT · 1 Mark
Engineering Mathematics • Differential Equations • First Order Ordinary Differential Equations

What is the integrating factor for the linear differential equation dy/dx + (2/x) y = x^3?

Answer Key:
x^2

Step-by-Step Verified Solution

### Solution: Integrating factor IF = exp(integral(2/x dx)) = exp(2 ln x) = x^2. Correct: x^2.
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