Class 12

Math

Calculus

Differential Equations

Find the order and degree (if defined) of the equation: $dx_{4}d_{4}y −sin(dx_{3}d_{3}y )=0$

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The differential equation representing the family of curves $y_{2}=2c(x+c ),$ where $c$ is a positive parameter, is of (A) order 1 (B) order 2 (C) degree 3 (D) degree 4

Form the differential equation of family of lines situated at a constant distance $p$ from the origin.

Form the differential equation of family of lines concurrent at the origin.

Tangent to a curve intercepts the y-axis at a point $P$ A line perpendicular to this tangent through $P$ passes through another point $(1,0).$ The differential equation of the curve is

What is the solution of the equationln(dydx)+x=0?

Solve $dxdy =x+2y−32x−y+1 $

The solution of dydx=|x| is:

The solution to the differential equationdydx=yf′(x)−y2f(x) Where f(x) is a given function is