Question:medium
The solution of the differential equation \( \frac{dy}{dx} = e^x + 1 \) is:
The solution of the differential equation \( \frac{dy}{dx} = e^x + 1 \) is:
Show Hint
When $dy/dx$ is purely a function of $x$, the solution is simply the anti-derivative of that function plus a constant.
Updated On: May 6, 2026
- \( y = e^x + C \)
- \( y = x + e^x + C \)
- \( y = xe^x + C \)
- \( y = x(e^x + 1) + C \)
- \( y = e^x + Cx \)
Show Solution
The Correct Option is B
Solution and Explanation
Was this answer helpful?
0
Top Questions on Order and Degree of Differential Equation
- The degree of the differential equation ((d²y)/(dx²))³+4-3d²ydx²+5(dy)/(dx)=0 is:
- BITSAT - 2011
- Mathematics
- Order and Degree of Differential Equation
- The degree of the differential equation √(1-x²)+√(1+y²)=a(x-y) is
- BITSAT - 2019
- Mathematics
- Order and Degree of Differential Equation
- The degree of the differential equation satisfying \[ \sqrt{1-x^2}+\sqrt{1+y^2}=a(x-y) \] is
- BITSAT - 2015
- Mathematics
- Order and Degree of Differential Equation
- The differential equation whose solution is \( Ax^2 + Bx + C = 1 \) where A and B are arbitrary constants is of:
- BITSAT - 2012
- Mathematics
- Order and Degree of Differential Equation
- Want to practice more? Try solving extra ecology questions todayView All Questions
