So I did the question but i don´t know if my answer is right, can someone please help me?
Question: Find the general solution of the following ODE:
(x² + x)y‘ = 3y – 1
Answer: (x² + x)dy/dx = 3y – 1
(x^(2)+x)dx=1/(3y-1)dy
(x^3)/3+ (x^2)/2= ln(3y-1)*(1/3)
y= (e^(x^3+1.5x^2)+1)/3
Is this answer right? It looks so messy so I´m not sure. Any help would be really appreciated.
Question: Find the general solution of the following ODE:
(x² + x)y‘ = 3y – 1
Answer: (x² + x)dy/dx = 3y – 1
(x^(2)+x)dx=1/(3y-1)dy
(x^3)/3+ (x^2)/2= ln(3y-1)*(1/3)
y= (e^(x^3+1.5x^2)+1)/3
Is this answer right? It looks so messy so I´m not sure. Any help would be really appreciated.