Question

三阶微分方程y'''=x^3的通解？

Answer 1

方法如下，
请作参考：

Answer 2

y'''=x^3
y''= (1/4)x^4 +K1
y'=(1/20)x^5 +K1.x +K2
y=(1/120)x^6 +(1/2)K1.x^2 +K2.x + C3
=(1/120)x^6 +C1.x^2 +C2.x + C3