Question

solve the diff equation 2(d²y/dx²)-5(dy/dx)-3y=0

Answer 1

Answer:

1st integrate, you will get

2(dy/dx)-5-3y^2/2+constant=0

Integrate again

2-(3×3/6)y^3+constant=0

2-(3/2)y^3+constant=0

(3/2)^y^3=2+constant

Y^3=(2+constant)(2/3)=constant

y=cube root of constant term