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Beliebt Rechnen >

y^'=(5x+8)/y

Lösung

y^{^{'}} = \frac{5 x + 8}{y}

Lösung

y = 5 x^{2} + 16 x + c_{1}, y = - 5 x^{2} + 16 x + c_{1}

Schritte zur Lösung

y^{'} (x) = \frac{5 x + 8}{y}

Solve separable ODE:

y = 5 x^{2} + 16 x + c_{1}, y = - 5 x^{2} + 16 x + c_{1}

y = 5 x^{2} + 16 x + c_{1}, y = - 5 x^{2} + 16 x + c_{1}

Graph

Beliebte Beispiele

(dy)/(dx)=2xsqrt(36-y^2)

\frac{d y}{d x} = 2 x 36 - y^{2}

(dy)/(dx)= 1/7 (y)^{1/2}(cos(y^{1/2}))^2

\frac{d y}{d x} = \frac{1}{7} (y)^{\frac{1}{2}} (cos (y^{\frac{1}{2}}))^{2}

y^'=(y^4)/(x^6),y(1)=3

y^{^{'}} = \frac{y ^{4}}{x ^{6}}, y (1) = 3

x y^{^{'}} + 2 y = 1

x \cdot \frac{d x}{d y} = 4 y