Question

y'+3x²y=6x²的通解怎么求要过程

Answer 1

y'+3x^2.y=6x^2
e^(x^3). [y'+3x^2.y]=6x^2.e^(x^3)
d/dx [e^(x^3).y] =6x^2.e^(x^3)
e^(x^3).y
=∫6x^2.e^(x^3) dx
=2e^(x^3) + C
y=2 + C.e^(-x^3)