✓ Board-verified
Mathematics · 2024 · 1 mark
Differential EquationsMethods of Solving First Order, First Degree Differential Equations1 markApplymcq
CBSE 2024 · Region 5 · Set 2 · Q14
The general solution of the differential equation dy/dx= e^x+ y is:
The general solution of the differential equation \[\frac{\mathrm{dy}}{\mathrm{dx}}=\mathrm{e}^{x+\mathrm{y}} \text { is }: \]
Official answer
(A)
$\displaystyle \mathrm{e}^{x}+\mathrm{e}^{-\mathrm{y}}=\mathrm{c}$
All Differential Equations questions2024 question paperNCERT solutions: Differential EquationsPractice Differential Equations →
More from Differential Equations
- The integrating factor of the differential equation (1-y^2) (d x)/dy+y x=ay,(-1<y<1) is2023
- The integrating factor for solving the differential equation x dy/dx-y=2 x^2 is:2023
- Product of the order and degree of differential equation 1+(dy/dx)^3=λ((d^3 y)/(dx^3))^2 is:2026
- Solve the differential equation (d y)/(d x)= cos x-2 y.2025
- The solution of the differential equation (d x)/x+(d y)/y=0 is:2023
- Find the general solution of the differential equation (y^2-x^2) d x=2 x y dy OR Find the particular solution of the differential equation (1+e^2 x)…2026
- The integrating factor of the differential equation (x+2 y^2) (d y)/(d x)=y(y>0) is:2024
- Find the particular solution of the differential equation dy/dx-y/x+cosec(y/x)=0; given that y=0, when x=1.2025
CBSE Class 12 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.