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Beliebt Rechnen >

5x*(dy)/(dx)=2xe^x-5y+6x^2

Lösung

5 x \cdot \frac{d y}{d x} = 2 x e^{x} - 5 y + 6 x^{2}

Lösung

y = \frac{2 ( e ^{x} x - e ^{x} )}{5 x} + \frac{2 x ^{2}}{5} + \frac{c _{1}}{x}

Schritte zur Lösung

5 x \cdot \frac{d y}{d x} = 2 x e^{x} - 5 y + 6 x^{2}

Solve linear ODE:

y = \frac{2 ( e ^{x} x - e ^{x} )}{5 x} + \frac{2 x ^{2}}{5} + \frac{c _{1}}{x}

y = \frac{2 ( e ^{x} x - e ^{x} )}{5 x} + \frac{2 x ^{2}}{5} + \frac{c _{1}}{x}

Graph

Beliebte Beispiele

integral of 3x-sqrt(x)

\int 3 x - x d x

integral from 1 to 4 of integral from 1 to sqrt(x of)2ye^{-x}

\int_{1}^{4} \int_{1}^{x} 2 y e^{- x} d y d x

integral of x(x^2+3)^{12}

\int x (x^{2} + 3)^{12} d x

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

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

30y^{''}-25y^'=0

30 y^{^{''}} - 25 y^{^{'}} = 0