(dy)/(dx)y=23^x

Lösung

\frac{d y}{d x} y = 2 3^{x}

y = \frac{2 \cdot 2 3 ^{x} + c _{1}}{ln ( 23 )}, y = - \frac{2 \cdot 2 3 ^{x} + c _{1}}{ln ( 23 )}

Schritte zur Lösung

\frac{d y}{d x} y = 2 3^{x}

Solve separable ODE:

y = \frac{2 \cdot 2 3 ^{x} + c _{1}}{ln ( 23 )}, y = - \frac{2 \cdot 2 3 ^{x} + c _{1}}{ln ( 23 )}

y = \frac{2 \cdot 2 3 ^{x} + c _{1}}{ln ( 23 )}, y = - \frac{2 \cdot 2 3 ^{x} + c _{1}}{ln ( 23 )}

x^{^{'}} + 0.09 \cdot x = 0, x (0) = 1

(x^{2} + 2 x - 1) y^{^{'}} - (x - 1) y = x - 1

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

\frac{d x}{d t} = 50 - \frac{7 x}{100}

(- y) d x + (x) d y = 0