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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{x ^{2}}{2} + \frac{x}{2} + \frac{1}{4} + c_{1} e^{2 x}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{x ^{2}}{2} + \frac{x}{2} + \frac{1}{4} + c_{1} e^{2 x}

y = \frac{x ^{2}}{2} + \frac{x}{2} + \frac{1}{4} + c_{1} e^{2 x}

Graph

Beliebte Beispiele

integral of (x^2)/((x-1)^3)

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

(\partial)/(\partial x)(5/(e^x))

\frac{\partial}{\partial x} (\frac{5}{e ^{x}})

y^'+4y=3sin(2t)

y^{^{'}} + 4 y = 3 sin (2 t)

(\partial)/(\partial x)(3x^4y^2+2xy^2-5)

\frac{\partial}{\partial x} (3 x^{4} y^{2} + 2 x y^{2} - 5)

steigung (-1,4),(-3,-2)

s l o p e (- 1, 4), (- 3, - 2)