consider the differential equation: What is the solution of the differential equation with . अवकल समीकरण पर विचार कीजिए : के साथ इस अवकल समीकरण का हल क्या है ?

Explanation: 1. Separate the variables: Starting with the equation: Divide both sides by : Multiply by and : 2. Integrate both sides: 3. Apply the initial condition : Substitute and into the equation to find : 4. Find the final solution: Substitute back into the equation: Multiply the entire equation by 2: Take the natural logarithm ( ) of both sides: Comparing this result to the given options in "image_fa3963.png", it matches option (c). Correct Answer: (c)

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NDA 2026 — Mathematics PYQ

NDA | Mathematics | 2026

consider the differential equation:

$e^{x + y} \frac{d y}{d x} = e^{x - y}$

What is the solution of the differential equation with $y (0) = 0$ .

अवकल समीकरण $e^{x + y} \frac{d y}{d x} = e^{x - y}$ पर विचार $d x$ कीजिए :

$y (0) = 0$ के साथ इस अवकल समीकरण का हल क्या है ?

Choose the correct answer: