Differential Equation

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

Click on each question to see answer & solution.

Question No: #151

Solve: `(xy\cosxy+\sinxy)dx+x^2\cosxy\ dy=0`

Question No: #152

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

Question No: #153

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

Question No: #154

If the differential equation of all straight lines, whose distance from origin is10 unit, is `(y-x\frac{dy}{dx})^2=A{1+(\frac{dy}{dx})^2}`, then find value of `A`.

Question No: #155

Find the differential equation of all ellipses, who center is at origin.

Question No: #156

Find the differential equation of all circles touching `x`-axis at origin.

Question No: #157

Show that the differential equation of all circles touching `y`-axis at origin is `2xy\frac{dy}{dx}=y^2-x^2`

Question No: #158

Find the differential equation of all circles, lying at first co-ordinate and touch both axes.

Question No: #159

Find the differential equation of all circles whose centres are on `x`-axis and radius variable.

Question No: #160

The slope of a curve at a point `(x,y)` is `\frac{3y+2x+4}{4x+6y+5}` and the curve passing through the point `(0,-1)`. Find the equation of the curve.