What is the general solution of the differential equation ?
Answer and explanation
Correct answer: A.
- Step 1: This is a linear differential equation with and .
- Step 2: The integrating factor is .
- Step 3: Multiply both sides by and integrate: . Divide by : .
Answer
.
Why not the others: integrates as ; multiplies by instead of ; drops the linear factor .
Practise more Differential equations.
Free questions with an explanation for every one, and full timed JEE Main mock tests.
More Differential equations questions
- What are the order and degree (if defined) of the differential equation…
- What is the general solution of the differential equation ?
- What is the integrating factor of the first-order linear differential equation ?
- If is the solution of the differential equation with initial condition…
- The solution of the homogeneous differential equation represents which family of geometric curves?
- What is the differential equation representing the family of concentric circles centered at the origin, , where is an a…