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Beliebt Rechnen >

(dy)/(dx)=e^{2x}+7y

Lösung

\frac{d y}{d x} = e^{2 x} + 7 y

Lösung

y = - \frac{e ^{2 x}}{5} + c_{1} e^{7 x}

Schritte zur Lösung

\frac{d y}{d x} = e^{2 x} + 7 y

Solve linear ODE:

y = - \frac{e ^{2 x}}{5} + c_{1} e^{7 x}

y = - \frac{e ^{2 x}}{5} + c_{1} e^{7 x}

Graph

Beliebte Beispiele

tangent y=2x^3-x^2+9,(2,21)

t an g e n t y = 2 x^{3} - x^{2} + 9, (2, 21)

integral of 1/(sqrt(x)-4)

\int \frac{1}{x - 4} d x

(\partial)/(\partial y)(x^2e^{5xy})

\frac{\partial}{\partial y} (x^{2} e^{5 x y})

fläche y=-x^2-2x+3,y=x^2-1

a re a y = - x^{2} - 2 x + 3, y = x^{2} - 1

derivative-2(4e^{-x^2}x^3-6e^{-x^2}x)

d er i v a t i v e - 2 (4 e^{- x^{2}} x^{3} - 6 e^{- x^{2}} x)