The general solution of the differential

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

The general solution of the differential equation dy/dx = e^x+y is-

Options:

e^x -e^-y =C

e^x +e^-y =C

3e^x +2e^-y =C

5e^x +4e^-y =C

Correct Answer:

e^x +e^-y =C

Explanation:

The given differential equation is

dy/dx = e^x+y

On separating the variables, we get:

e^-ydy = e^xdx

Integrating both sides, we get:

-e^-y = e^x +k

⇒ e^x + e^-y = C (where C=-k)