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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


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