Answer :

Compare with we get and

This is a linear differential equation where P and Q are functions of x

For the solution of the linear differential equation, we first need to find the integrating factor

⇒ IF = e^{∫Pdx}

The solution of linear differential equation is given by y(IF) = ∫Q(IF)dx + c

Substituting values for Q and IF

Let tan^{-1}x = t

Differentiating with respect to x

Hence

Resubstitute t

**Hence solution of the given differential equation is**

Rate this question :

Integrating factor of the differential equation is:

Mathematics - ExemplarSolve the following differential equation:

Mathematics - Board Papers

Solve the following differential equations:

RD Sharma - Volume 2

Solve the following differential equations:

RD Sharma - Volume 2

Solve the following differential equations:

RD Sharma - Volume 2

Solve the following differential equations:

RD Sharma - Volume 2

Solve the following differential equations:

(x + tan y)dy = sin 2y dx

RD Sharma - Volume 2Solve the following differential equation:

Mathematics - Board Papers