Differential Equation

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #121

Solve: `(1+x^2)\frac{dy}{dx}+y=e^{\tan^{-1}x}`

Question No: #122

Solve: `\frac{dy}{dx}=\frac{x\sqrt{x^2-1}+y}{\sqrt{x^2-1}}` ; given `y=1` when `x=1`

Question No: #123

Solve: `(1+x)\frac{dy}{dx}-\tany=(1+x)^2e^x\secy`

Question No: #124

Solve: `x\cosx\frac{dy}{dx}+y(x\sinx+\cosx)=1`

Question No: #125

Solve. `xy \frac{dy}{dx}-y^2=(x+y)^2e^{-y/x}`
Ans: `xe^{y/x}=(x+y)\log|cx|`
SEE SOLUTION

Question No: #126

Solve: `(xe^{y/x}+y)dx=xdy` ; given `y(1)=1`

Question No: #127

Solve: `ye^ydx=(y^3+2xe^y)dy` when `x=2`, `y=1`

Question No: #128

Solve: `(e^x+1)y\ dy-(y^2+1)e^xdx=0`, given `y=0` when `x=0`

Question No: #129

Solve: `x\frac{dy}{dx}=y\cdot(\logy-\logx+1)`

Question No: #130

Solve: `\frac{dy}{dx}-y\tanx+y^2\secx=0`