(dy)/(dx)=(x+1)^3

解答

\frac{d y}{d x} = (x + 1)^{3}

y = \frac{( x + 1 ) ^{4}}{4} + c_{1}

求解步骤

\frac{d y}{d x} = (x + 1)^{3}

替代

\frac{d y}{d x}

与

y^{'} (x)

y^{^{'}} (x) = (x + 1)^{3}

若

f^{^{'}} (x) = g (x)

则

f (x) = \int g (x) d x

y = \int (x + 1)^{3} d x

\int (x + 1)^{3} d x = \frac{( x + 1 ) ^{4}}{4} + c_{1}

y = \frac{( x + 1 ) ^{4}}{4} + c_{1}

\int (\frac{1}{cos ( 4 x )})^{2} d x

y^{'} = 0.0012 y (1000 - y)

\frac{d}{d x} (x e^{x} + x)

\int arctan (4 t) d t

n = 3 \sum \infty \frac{1}{ln ( n )}