What is the integrating factor of dy/dx + (2/x) y = x²?
Ax²
Be^(2x)
C1/x²
D2x
Answer & Solution
Correct answer: A. x²
The integrating factor is e^(∫(2/x)dx) = e^(2 log x) = x².
Keep practising Differential Equations
Browse all Differential Equations questions for MHT-CET, or explore more Mathematics topics.
Related questions
Which equation expresses Newton's law of cooling for body temperature θ and surroundings θA body at 60°C cools in a room at 20°C. By Newton's law its rate of cooling is proportionaFor x = x0 e^(-kt), what fraction of x0 remains at time t = 1/k?Why is there a negative sign in dx/dt = -kx for radioactive decay?A radioactive element has a half life of 10 years. How much of a 640 g sample remains afteA radioactive sample has a half life of 5 days. Of 800 mg, how much remains after 15 days?In the growth solution P = c e^(kt), what does the constant c represent?A population grows with dP/dt = kP and triples in 2 hours. How long will it take to become