The DE $y - x \dfrac{dy}{dx} = 0$ has general solution:
A$y = cx$
B$y = c/x$
C$y = c e^x$
D$y^2 = c x$
Answer & Solution
Correct answer: A. $y = cx$
**Rewrite:** $dy/y = dx/x$.
**Integrating:** $\log y = \log x + \log c$
⇒ $y = cx$ (family of straight lines through origin).
Keep practising Differential Equations
Browse all Differential Equations questions for AP Intermediate 2nd Year, or explore more Mathematics topics.
Related questions
For the linear DE dy/dx + (1/x)y = x, the INTEGRATING FACTOR μ(x) is:Complete the definition of order and degreeComplete the definition of a differential equationOrder, degree, or neither?True or false: methods of solutionRecognising the typeGeneral solution or particular solution?True or false: what a solution is