Differential Equation

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

Click on each question to see answer & solution.

Question No: #131

Solve: `dx+x\dy=e^{-y}\sec^2y\ dy`

Question No: #132

Solve: `(1+y^2)(1+\logx)dx+x\ dy=0`; given `y=1` when `x=1`

Question No: #133

Solve: `(\tan^{-1}y-x)dy=(1+y^2)dx` given `y(0)=0`

Question No: #134

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

Question No: #135

Solve: `1+y^2+(x-e^{-\tan^{-1}y})\frac{dy}{dx}=0`

Question No: #136

Solve: `(xy^2-e^{1/x^3})dx-x^2ydy=0` when `y=0`, `x=1`

Question No: #137

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

Question No: #138

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

Question No: #139

Solve: `(x+\tany)dy = sin2y\ dx`

Question No: #140

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