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Beliebt Rechnen >

4t(dy)/(dt)-5y=sqrt(t)

Lösung

4 t \frac{d y}{d t} - 5 y = t

Lösung

y = - \frac{t ^{\frac{1}{2}}}{3} + c_{1} t^{\frac{5}{4}}

Schritte zur Lösung

4 t \frac{d y}{d t} - 5 y = t

Solve linear ODE:

y = - \frac{t ^{\frac{1}{2}}}{3} + c_{1} t^{\frac{5}{4}}

y = - \frac{t ^{\frac{1}{2}}}{3} + c_{1} t^{\frac{5}{4}}

Graph

Beliebte Beispiele

integral of-2*3^{6x}

\int - 2 \cdot 3^{6 x} d x

derivative y=cot^2(x)

d er i v a t i v e y = cot^{2} (x)

(\partial)/(\partial x)(sqrt(x^2+y^2)-z)

\frac{\partial}{\partial x} (x^{2} + y^{2} - z)

limit as x approaches 3 of pi

x \to 3 lim (π)

xy^'+2y=5sqrt(x)

x y^{^{'}} + 2 y = 5 x