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Beliebt Rechnen >

5(dy)/(dx)+2x=3

Lösung

5 \frac{d y}{d x} + 2 x = 3

Lösung

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

Schritte zur Lösung

5 \frac{d y}{d x} + 2 x = 3

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

5 y^{^{'}} (x) + 2 x = 3

Isoliere

y^{'} (x) : y^{'} (x) = \frac{3 - 2 x}{5}

Wenn

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

dann

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

y = \int \frac{3 - 2 x}{5} d x

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

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

Graph

Beliebte Beispiele

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

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

derivative y=2x^{-3/4}

d er i v a t i v e y = 2 x^{- \frac{3}{4}}

limit as t approaches 0 of (sqrt(t^2+9-3))/(t^2)

t \to 0 lim (\frac{t ^{2} + 9 - 3}{t ^{2}})

integral of 1/(2x-1)-1/(2x-1)

\int \frac{1}{2 x - 1} - \frac{1}{2 x - 1} d x

xy^'=(x^3cos(2x))/y+y

x y^{^{'}} = \frac{x ^{3} cos ( 2 x )}{y} + y