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Beliebt Rechnen >

(dy)/(dt)=(7t^2)/(9y)

Lösung

\frac{d y}{d t} = \frac{7 t ^{2}}{9 y}

Lösung

y = \frac{c _{1} + 14 t ^{3}}{3 3}, y = - \frac{c _{1} + 14 t ^{3}}{3 3}

Schritte zur Lösung

\frac{d y}{d t} = \frac{7 t ^{2}}{9 y}

Solve separable ODE:

y = \frac{c _{1} + 14 t ^{3}}{3 3}, y = - \frac{c _{1} + 14 t ^{3}}{3 3}

y = \frac{c _{1} + 14 t ^{3}}{3 3}, y = - \frac{c _{1} + 14 t ^{3}}{3 3}

Graph

Beliebte Beispiele

(2xy^2+2xy)dx+(x^2y+x^2)dy=0

(2 x y^{2} + 2 x y) d x + (x^{2} y + x^{2}) d y = 0

y^'-x^3y^2=4x^3,y(0)=2

y^{^{'}} - x^{3} y^{2} = 4 x^{3}, y (0) = 2

y - y^{^{'}} - 6 y = 0

(dx)/(dt)=3t^2(x^2+16)

\frac{d x}{d t} = 3 t^{2} (x^{2} + 16)

y^'=(sin(x))/(csc(y))

y^{^{'}} = \frac{sin ( x )}{csc ( y )}