(dy)/(dx)= 1/2 x+3

Lösung

\frac{d y}{d x} = \frac{1}{2} x + 3

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

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{2} x + 3

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = \frac{1}{2} x + 3

Wenn

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

dann

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

y = \int \frac{1}{2} x + 3 d x

\int \frac{1}{2} x + 3 d x = \frac{x ^{2}}{4} + 3 x + c_{1}

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

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