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Find the compute integral of the differential equation:


xp +3yq = 2(z-x²q²)

Find the integral curves of the differential equation:


(D³-D'³) z=x³y³

Using Charpit’s method, solve the equation:


zp²-y²p+y²q =0

Find the integral surface of the PDE



x²p +y²q +z²=0



which passes through the hyperbola



xy=x+y, z=1

Find the general solution of the equation:


(x-y)y².u↓x -(x-y)x².u↓y -(x²+y²)u =0

Find the general solution of the equation:


(x-y) y.u↓x -(x-y) x².u↓y -(x²+y²) u=0

Using Charpit’s method, solve the equation:


zp² -y²p +y²q =0

Using the method of undetermined coefficients, solve the equation:


d²y/dx² -3dy/dx +2y=4x²

Solve the equation :


(7y-3x+3)dy + (3y-7x+7)dx =0

for the following differential equation locate and classify its singular points on the x axis x^2y"+(2-x)y'=0

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