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Beliebt Rechnen >

(dy)/(dx)=(16x)/(e^y)

Lösung

\frac{d y}{d x} = \frac{16 x}{e ^{y}}

Lösung

y = ln (8 x^{2} + c_{1})

Schritte zur Lösung

\frac{d y}{d x} = \frac{16 x}{e ^{y}}

Solve separable ODE:

y = ln (8 x^{2} + c_{1})

y = ln (8 x^{2} + c_{1})

Graph

Beliebte Beispiele

(dy)/(dx)=(xsqrt(4-y^2))/(sqrt(1-x^2))

\frac{d y}{d x} = \frac{x 4 - y ^{2}}{1 - x ^{2}}

u^'=2e^{5x-\H(x)}

u^{^{'}} = 2 e^{5 x - H (x)}

x^'+(x-25)+(x-25)/3 =200

x^{^{'}} + (x - 25) + \frac{x - 25}{3} = 200

y^{^{'}} - 10 y + 25 y = 0

(dy)/(dx)= y/(x(1-x^2))

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