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Beliebt Rechnen >

(dy)/(dx)+6x^2y=7x^2,y(0)=2

Lösung

\frac{d y}{d x} + 6 x^{2} y = 7 x^{2}, y (0) = 2

Lösung

y = \frac{5 e ^{- 2 x^{3}}}{6} + \frac{7}{6}

Schritte zur Lösung

\frac{d y}{d x} + 6 x^{2} y = 7 x^{2}

Solve separable ODE:

y = \frac{5 e ^{- 2 x^{3}}}{6} + \frac{7}{6}

y = \frac{5 e ^{- 2 x^{3}}}{6} + \frac{7}{6}

Graph

Beliebte Beispiele

(dy)/(dx)=(e^{8y+sqrt(x)})/(sqrt(x)),x>0

\frac{d y}{d x} = \frac{e ^{8 y + x}}{x}, x > 0

d/(dt)((x)x)=sqrt(t^2+1)

\frac{d}{d t} ((x) x) = t^{2} + 1

y^{^{'}} = 8 x sec (y)

(5x+4)+(5y-5)y^'=0

(5 x + 4) + (5 y - 5) y^{^{'}} = 0

y^'(x)=(1-y^2)tan(x),y(0)=sqrt(3)

y^{^{'}} (x) = (1 - y^{2}) tan (x), y (0) = 3