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Beliebt Rechnen >

(dy)/(dx)+12x^2y=5x^2,y(0)=4

Lösung

\frac{d y}{d x} + 12 x^{2} y = 5 x^{2}, y (0) = 4

Lösung

y = \frac{43 e ^{- 4 x^{3}}}{12} + \frac{5}{12}

Schritte zur Lösung

\frac{d y}{d x} + 12 x^{2} y = 5 x^{2}

Solve separable ODE:

y = \frac{43 e ^{- 4 x^{3}}}{12} + \frac{5}{12}

y = \frac{43 e ^{- 4 x^{3}}}{12} + \frac{5}{12}

Graph

Beliebte Beispiele

sqrt(x)(dy)/(dx)=e^{4y+sqrt(x)}

x \frac{d y}{d x} = e^{4 y + x}

y^'=y^2xcos(x^2)

y^{^{'}} = y^{2} x cos (x^{2})

(dy)/(dx)=x*e^y

\frac{d y}{d x} = x \cdot e^{y}

y^'=(x^2)/y (1+x^3)

y^{^{'}} = \frac{x ^{2}}{y} (1 + x^{3})

(dx)/(dt)=0.36-(9x)/(100)

\frac{d x}{d t} = 0.36 - \frac{9 x}{100}