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Beliebt Rechnen >

(dy)/(dx)+x^2y=3x^2

Lösung

\frac{d y}{d x} + x^{2} y = 3 x^{2}

Lösung

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 3

Schritte zur Lösung

\frac{d y}{d x} + x^{2} y = 3 x^{2}

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 3

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 3

Graph

Beliebte Beispiele

y^{^{'}} = e^{y} sin (t)

(1-y)(dy)/(dx)=x^2

(1 - y) \frac{d y}{d x} = x^{2}

(dy)/(dx)y=(sin(x))/(x^3)

\frac{d y}{d x} y = \frac{sin ( x )}{x ^{3}}

y^'=(ln(x))/(xy)

y^{^{'}} = \frac{ln ( x )}{x y}

(dy)/(dx)=-1/(sin(y)),y(-3)= pi/2

\frac{d y}{d x} = - \frac{1}{sin ( y )}, y (- 3) = \frac{π}{2}