Consider the differential equation, x dy dx = y(log_e y - log_e x + 1), then which of the following are true? (A) It is a linear differential…
CUET UG 2025 — Mathematics Calculus
Consider the differential equation, xdxdy=y(logey−logex+1), then which of the following are true?
(A) It is a linear differential equation
(B) It is a homogenous differential equation
(C) Its general solution is loge(xy)=Cx, where C is constant of integration
(D) Its general solution is loge(yx)=Cy, where C is constant of integration
(E) If y(1)=1, then its particular solution is y=x
Choose the correct answer from the options given below:
Held on 14 May 2025 · Verified 13 Jul 2026.
Options
- A
(A), (D) and (E) only
- B
(A) and (D) only
- C
(B) and (C) only
- D
(B), (C) and (E) only
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