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Find the orthogonal trajectories of the given family of curves y= Ce^-mx; with m held fixed
The solution of D.E(D^4-16)y=0 is
Find a solution of p+q^2=0 passing through the line x0(s) =0, y0(s)=s, z0(s)=3s
Find the general and singular solution of xp^2-yp+a=0
Solution of : xp^2 - (x-a)^2 = 0
Find a linear homogeneous differential equation, whose solutions are {e^x,e^-x,e^x-2e^-x}
y''-3y'+2y=3e^-x-10cosx
Solve this:
P²(x²-a²)-2pxy+y²-b²=0
solve dy/dx = x^3(y^2 + 1 )
z(x + y) p+z(x -y)q=x^2+y^2 , where p=dz/dx ,q=dz/dy