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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{x ^{2}}{2} + x + c_{1}

Schritte zur Lösung

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

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

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

Wenn

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

dann

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

y = \int x + 1 d x

\int x + 1 d x = \frac{x ^{2}}{2} + x + c_{1}

y = \frac{x ^{2}}{2} + x + c_{1}

Graph

Beliebte Beispiele

y^{''''}+2*y^{''}+y=0

y^{^{''''}} + 2 \cdot y^{^{''}} + y = 0

(\partial)/(\partial y)(2xy+2x)

\frac{\partial}{\partial y} (2 x y + 2 x)

derivative of sin^2(8x)

\frac{d}{d x} (sin^{2} (8 x))

(dy)/(dx)+xy=xy^2

\frac{d y}{d x} + x y = x y^{2}

derivative of-cos(cos(x)sin(x))

\frac{d}{d x} (- cos (cos (x)) sin (x))