Verify that the function y=c1eaxcosbx+c2eaxsinbx, where c1,c2are arbitrary constants is a solution of the differential equation. dx2d2y−2adxdy+(a2+b2)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−x21 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:
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+xy2−(y+y3)at(x,y)
The particular solution of the differential equation sin−1(d2ydx2−1)=x, wherey=dydx=0 whenx=0, is