y’’’’-5y’’’+6y’’+4y’-8y=0
(D ^ 2 + 3D + 2) * y = sin 2x + 5 degrees + log 3
Find a complete integral of x(1 + y)p = y(1 + x)q
If a string of length l is initially at rest in equilibrium position and each of its points is given the velocity dy/dt= b sin^3πx/l find the displacement
P2-xp-q=0 solve by charpit method
y'''' + 3y''' + 3y' + y = x*e^(-x) + x*cosx - 7 + x^(2) *e^(-x) *sinx
separate the differential equation into variables
2x2yy,=1+x2
Reduce the homogeneous equation to the separated one
(x+y)dx+(y-x)dy=0
solve the equation in exact differentials
(y2-1)dx+(2xy+3y)dy=0
Solve the equation in exact differentials:
(y-3x2)dx+(x-4y)dy=0