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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - ln (- e^{x} - \frac{x ^{3}}{3} - c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = - ln (- e^{x} - \frac{x ^{3}}{3} - c_{1})

y = - ln (- e^{x} - \frac{x ^{3}}{3} - c_{1})

Graph

Beliebte Beispiele

taylor (9-x^2)^{-1/2}

t a y l or (9 - x^{2})^{- \frac{1}{2}}

tangent y=2x^2+9x-7

t an g e n t y = 2 x^{2} + 9 x - 7

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

\frac{d}{d x} (2 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x))

f(x)=sqrt(sec(x))

f (x) = sec (x)

derivative y(θ)= pi/7 sin(θ)

d er i v a t i v e y (θ) = \frac{π}{7} sin (θ)