Home > Calculus > jee_main_2026_april_2_shift_1 > e42f728b-7d58-4dae-a5bc-ef234b75e0a2

Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Calculus

Differential Equations, Variable Separable

jee_main_2026_april_2_shift_1

Grade 12

Question:

The solution of the differential equation dy/dx = e^(x-y) is:

A. e^y = e^x + C

B. e^x = e^y + C

C. y = e^x + C

D. x = e^y + C

Step-by-Step Solution

Key Concept: Separate the variables.

Step 1: dy/dx = e^x / e^y => e^y dy = e^x dx. Step 2: Integrate: ∫ e^y dy = ∫ e^x dx => e^y = e^x + C.

Correct Answer: A

Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.