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Beliebt Rechnen >

(dy)/(dx)-8(dy)/(dx)+16y=0

Lösung

\frac{d y}{d x} - 8 \frac{d y}{d x} + 16 y = 0

Lösung

y = e^{\frac{16 x + c _{1}}{7}}

Schritte zur Lösung

\frac{d y}{d x} - 8 \frac{d y}{d x} + 16 y = 0

Solve separable ODE:

y = e^{\frac{16 x + c _{1}}{7}}

y = e^{\frac{16 x + c _{1}}{7}}

Graph

Beliebte Beispiele

y^{^{'}} = x (6 - y)

(dy)/(dx)=(3x+3xy^2)/(yx^2+2y)

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

xy^'+4y=0,y(1)=(sqrt(3))/2

x y^{^{'}} + 4 y = 0, y (1) = \frac{3}{2}

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

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

y^'=y(7(t^2-1))/(t(t-3)(t-4)),y(7)=3

y^{^{'}} = y \frac{7 ( t ^{2} - 1 )}{t ( t - 3 ) ( t - 4 )}, y (7) = 3