Class 12

Math

Calculus

Differential Equations

Verify that the function $y=c_{1}e_{ax}cosbx+c_{2}e_{ax}sinbx$, where $c_{1},c_{2}$are arbitrary constants is a solution of the differential equation. $dx_{2}d_{2}y −2adxdy +(a_{2}+b_{2})y=0$

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

The degree of differential equation satisfying the relation1+x2−−−−−√+1+y2−−−−−√=λ(x1+y2−−−−−√−y1+x2−−−−−√) is

The equation of a curve passing through $(2,27 )$ and having gradient $1−x_{2}1 $ at $(x,y)$ is

If y+xdydx=xϕ(xy)ϕ′(xy) then ϕ(xy) is equation to

What is the solution of the differential equationsin(dydx)−a=0?

Find the order and degree of the following differential equation: $ln(dxdy )=ax+by$

A curve is such that the portion of the x-axis cut off between the origin and the tangent at a point is twice the abscissa and which passes through the point (1, 2). The equation of the curve is

Find the equation of a curve passing through $(0,1)$ and having gradient $1+x+xy_{2}−(y+y_{3}) at(x,y)$

The particular solution of the differential equation sin−1(d2ydx2−1)=x, wherey=dydx=0 whenx=0, is