Differential Equations Answers

Find the complete integral of the differential equation

p^2- y³q = x² -y².

(Variable Separable). Determine the solution of the differential equation.

a.) "\\alpha" d"\\beta" + "\\beta"d"\\alpha" + "\\alpha""\\beta"(3d"\\alpha" + d"\\beta") =0

b.) (xy + x)dx = (x²y² + x² + y² +1)dy

c.) dx = t(1 + t²) sec²x dt

Find the series solution of the differential equation

x²(𝑥+2)𝑦′′−𝑥𝑦′+(1+𝑥)𝑦=0.

y¨ + 4y´ + 4y=(3 + x)e^-2x , y(0)=2, y´(0)=5

(D³-2D²D')z=3x²y