An integrating factor of x dy/dx + (3x + 1)y = x e⁻²ˣएक समाकलन कारक
An integrating factor of
x dy/dx + (3x + 1)y = x e⁻²ˣ
is
एक समाकलन कारक
x dy/dx + (3x + 1)y = x e⁻²ˣ
का है
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Correct answer: (A) x e³ˣx e³ˣ
Explanation
Divide by x: dy/dx + (3 + 1/x)y = e⁻²ˣ. The integrating factor is exp(∫(3 + 1/x) dx) = e³ˣ · x = x e³ˣ.x से भाग देने पर dy/dx + (3 + 1/x)y = e⁻²ˣ। समाकलन कारक exp(∫(3 + 1/x) dx) = e³ˣ · x = x e³ˣ है।