t*(dy)/(dt)=t^3+30t^3y

解答

t \cdot \frac{d y}{d t} = t^{3} + 30 t^{3} y

y = \frac{e ^{10 t^{3} + c_{1}}}{30} - \frac{1}{30}

求解步骤

t \cdot \frac{d y}{d t} = t^{3} + 30 t^{3} y

求解可分离方程:

y = \frac{e ^{10 t^{3} + c_{1}}}{30} - \frac{1}{30}

y = \frac{e ^{10 t^{3} + c_{1}}}{30} - \frac{1}{30}

n = 0 \sum \infty n! (x - 3)^{n}

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