YESPYQ Start Practice
🛠️ JEE➗ Maths

Which of the following is true for \(y(x)\) that satisfies the differential equation \(\frac{\mathrm{dy}}{\mathrm{dx}}=\…

Q1

Which of the following is true for \(y(x)\) that satisfies the differential equation \(\frac{\mathrm{dy}}{\mathrm{dx}}=\mathrm{xy}-1+\mathrm{x}-\mathrm{y};\mathrm{y}\left(0\right)=0\) :

[JEE Main 2021, 17 Mar (Shift 1)]

a

\(\mathrm{y}\left(1\right)={\mathrm{e}}^{\frac{1}{2}}-1\)

b

\(\mathrm{y}\left(1\right)=1\)

c

\(\mathrm{y}\left(1\right)={\mathrm{e}}^{\frac{1}{2}}-{\mathrm{e}}^{-\frac{1}{2}}\)

d

\(\mathrm{y}\left(1\right)={e}^{-\frac{1}{2}}-1\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Differential Equations, or browse the full JEE question bank.

See all questions on Differential Equations →