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Beliebt Rechnen >

2yy^'=15t^2,y(0)=4

Lösung

2 y y^{^{'}} = 15 t^{2}, y (0) = 4

Lösung

y = 5 t^{3} + 16

Schritte zur Lösung

2 y y^{'} (t) = 15 t^{2}

Solve separable ODE:

y = 5 t^{3} + 16

y = 5 t^{3} + 16

Graph

Beliebte Beispiele

(dy)/(dx)=-7/4 x^3y^3

\frac{d y}{d x} = - \frac{7}{4} x^{3} y^{3}

x^2dy=(9+y^2)dx

x^{2} d y = (9 + y^{2}) d x

(1-y^2)^{1/2}dx-(1-x^2)^{1/2}dy=0

(1 - y^{2})^{\frac{1}{2}} d x - (1 - x^{2})^{\frac{1}{2}} d y = 0

(dy)/(dx)=ysin(3x)-3ye^{-3x},y(0)=1

\frac{d y}{d x} = y sin (3 x) - 3 y e^{- 3 x}, y (0) = 1

y^'+ytan(x)=0,y(0)=acos(x)

y^{^{'}} + y tan (x) = 0, y (0) = a cos (x)