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Beliebt Rechnen >

y=(4-5x^2)(dy)/(dx)

Lösung

y = (4 - 5 x^{2}) \frac{d y}{d x}

Lösung

y = e^{\frac{1}{4 5} (l n (\frac{5}{2} x + 1) - l n (\frac{5}{2} x - 1)) + c_{1}}

Schritte zur Lösung

y = (4 - 5 x^{2}) \frac{d y}{d x}

Solve separable ODE:

y = e^{\frac{1}{4 5} (l n (\frac{5}{2} x + 1) - l n (\frac{5}{2} x - 1)) + c_{1}}

y = e^{\frac{1}{4 5} (l n (\frac{5}{2} x + 1) - l n (\frac{5}{2} x - 1)) + c_{1}}

Graph

Beliebte Beispiele

(dy)/(dx)=0.125(y-3)

\frac{d y}{d x} = 0.125 (y - 3)

x^3y^'+(5x^2-8)y=0,y(1)=2

x^{3} y^{^{'}} + (5 x^{2} - 8) y = 0, y (1) = 2

(4y-yx^2)dy-(2x+xy^2)dx=0

(4 y - y x^{2}) d y - (2 x + x y^{2}) d x = 0

y^{^{'}} = 2 e^{x - y}

y^'=(t^3y^2)/(t^4+e),y(0)=1

y^{^{'}} = \frac{t ^{3} y ^{2}}{t ^{4} + e}, y (0) = 1