Find the integral surface of the equation:
(x²-yz)p+(y²-zx)q =z²-xy
passing through the line x=1 , y=0
Find the integral curves of the differential equation:
(D³-D'³) z=x³y³
Using Charpit’s method, solve the equation:
zp²-y²p+y²q =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
Solve the equation :
(7y-3x+3) dy +(3y-7x+7) dx=0
Solve :
x²y" -2xy' -4y=x²+2ln x
Solve :
dy/dx= 1/x+y+1