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Beliebt Rechnen >

2t*(dy)/(dt)-4y=sqrt(t)

Lösung

2 t \cdot \frac{d y}{d t} - 4 y = t

Lösung

y = - \frac{t ^{\frac{1}{2}}}{3} + c_{1} t^{2}

Schritte zur Lösung

2 t \cdot \frac{d y}{d t} - 4 y = t

Solve linear ODE:

y = - \frac{t ^{\frac{1}{2}}}{3} + c_{1} t^{2}

y = - \frac{t ^{\frac{1}{2}}}{3} + c_{1} t^{2}

Graph

Beliebte Beispiele

integral of ((x^2)/4+4x+19)^2

\int (\frac{x ^{2}}{4} + 4 x + 19)^{2} d x

(8y^2-xy)dx+x^2dy=0

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

(e^{x} sin (x))^{^{'}}

integral of 13x^2

\int 13 x^{2} d x

derivative (x^2-5x+8)(3x^2-2)

d er i v a t i v e (x^{2} - 5 x + 8) (3 x^{2} - 2)