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Beliebt Rechnen >

(dy)/(dx)=(2y+5)/(-5x-2)

Lösung

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

Lösung

y = \frac{c _{1}}{2 ( - 5 x - 2 ) ^{\frac{2}{5}}} - \frac{5}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{c _{1}}{2 ( - 5 x - 2 ) ^{\frac{2}{5}}} - \frac{5}{2}

y = \frac{c _{1}}{2 ( - 5 x - 2 ) ^{\frac{2}{5}}} - \frac{5}{2}

Graph

Beliebte Beispiele

(dy)/(dx)y=sqrt(x^2+8)

\frac{d y}{d x} y = x^{2} + 8

(ln(y))^3(dy)/(dx)=x^3y,y(1)=e^2

(ln (y))^{3} \frac{d y}{d x} = x^{3} y, y (1) = e^{2}

\frac{1}{y ^{2}} y^{^{'}} = 2 x

(dy}{dx}=\frac{y^2+1)/x ,y(pi/4)=1

\frac{d y}{d x} = \frac{y ^{2} + 1}{x}, y (\frac{π}{4}) = 1

y^{^{'}} = x^{2} \cdot y^{2}