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Beliebt Rechnen >

y^'=x(x-1)(x-5)

Lösung

y^{^{'}} = x (x - 1) (x - 5)

Lösung

y = \frac{x ^{4}}{4} - 2 x^{3} + \frac{5 x ^{2}}{2} + c_{1}

Schritte zur Lösung

y^{'} (x) = x (x - 1) (x - 5)

Wenn

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

dann

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

y = \int x (x - 1) (x - 5) d x

\int x (x - 1) (x - 5) d x = \frac{x ^{4}}{4} - 2 x^{3} + \frac{5 x ^{2}}{2} + c_{1}

y = \frac{x ^{4}}{4} - 2 x^{3} + \frac{5 x ^{2}}{2} + c_{1}

Graph

Beliebte Beispiele

integral of y/(1+x^2y^2)

\int \frac{y}{1 + x ^{2} y ^{2}} d x

integral of (-cos(nx))/n

\int \frac{- cos ( n x )}{n} d x

t(dy)/(dt)=t^3+24t^3y

t \frac{d y}{d t} = t^{3} + 24 t^{3} y

(\partial)/(\partial x)(7ycos(x))

\frac{\partial}{\partial x} (7 y cos (x))

sum from n=2 to infinity of 5/(3^n)

n = 2 \sum \infty \frac{5}{3 ^{n}}