Differential Equation

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

Click on each question to see answer & solution.

Question No: #101

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

Question No: #102

Solve: `(1-x^2)\frac{dy}{dx}-xy=x`; given `y=2` when `x=0`

Question No: #103

Solve: `(x+3)\frac{dy}{dx}-3y=(x+3)^2`

Question No: #104

Solve: `x\log\x\frac{dy}{dx}+y=2/x\log\x` where `x\gt1`

Question No: #105

Solve: `(1+x^2)\frac{dy}{dx}+2xy=\sqrt{x^2+4}`

Question No: #106

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

Question No: #107

Solve: `(1+x^2)\frac{dy}{dx}+2xy=\cotx`

Question No: #108

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

Question No: #109

Solve: `(1-x^2)\frac{dy}{dx}-2xy=x - x^3`

Question No: #110

Solve: `(x-y^2)dx+2xy\ dy=0`