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