What is the general solution of the differential equation for ?
Answer and explanation
Correct answer: B.
- Step 1: Separate the numerator: .
- Step 2: Rearrange to standard first-order linear form: .
- Step 3: Find . Multiply and integrate: .
Answer
.
Why not the others: forgets to multiply by ; integrates as ; drops the coefficient.
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…