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Beliebt Rechnen >

(dy)/(dx)=6x+2

Lösung

\frac{d y}{d x} = 6 x + 2

Lösung

y = 3 x^{2} + 2 x + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = 6 x + 2

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = 6 x + 2

Wenn

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

dann

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

y = \int 6 x + 2 d x

\int 6 x + 2 d x = 3 x^{2} + 2 x + c_{1}

y = 3 x^{2} + 2 x + c_{1}

Graph

Beliebte Beispiele

(\partial)/(\partial y)(x^5+xy^8+6)

\frac{\partial}{\partial y} (x^{5} + x y^{8} + 6)

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

integral of 1/(25+3x^2)

\int \frac{1}{25 + 3 x ^{2}} d x

integral of 1/(x^2sqrt(16x^2-9))

\int \frac{1}{x ^{2} 16 x ^{2} - 9} d x

(\partial)/(\partial x)(1+x)

\frac{\partial}{\partial x} (1 + x)