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Beliebt Rechnen >

(dy)/(dx)=(y-7)^2

Lösung

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

Lösung

y = - \frac{1}{x + c _{1}} + \frac{7 x}{x + c _{1}} + \frac{7 c _{1}}{x + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{1}{x + c _{1}} + \frac{7 x}{x + c _{1}} + \frac{7 c _{1}}{x + c _{1}}

y = - \frac{1}{x + c _{1}} + \frac{7 x}{x + c _{1}} + \frac{7 c _{1}}{x + c _{1}}

Graph

Beliebte Beispiele

derivative of \sqrt[3]{x}-(10/x)

\frac{d}{d x} (3 x - \frac{10}{x})

derivative of x(x^2+1^3)

\frac{d}{d x} (x (x^{2} + 1)^{3})

(\partial)/(\partial x)(8x^2y+5xy^3)

\frac{\partial}{\partial x} (8 x^{2} y + 5 x y^{3})

tangent y=7x^2-4x,-74

t an g e n t y = 7 x^{2} - 4 x, - 74

integral of (x-9)^2

\int (x - 9)^{2} d x