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Beliebt Rechnen >

7t*y^'-5y=sqrt(t)

Lösung

7 t \cdot y^{^{'}} - 5 y = t

Lösung

y = - \frac{2 t ^{\frac{1}{2}}}{3} + c_{1} t^{\frac{5}{7}}

Schritte zur Lösung

7 t \cdot y^{'} (t) - 5 y = t

Solve linear ODE:

y = - \frac{2 t ^{\frac{1}{2}}}{3} + c_{1} t^{\frac{5}{7}}

y = - \frac{2 t ^{\frac{1}{2}}}{3} + c_{1} t^{\frac{5}{7}}

Graph

Beliebte Beispiele

4y^{''}-y=1,y(0)=0,y^'(0)= 1/2

4 y^{^{''}} - y = 1, y (0) = 0, y^{^{'}} (0) = \frac{1}{2}

(dy)/(dx)=sqrt((3y-2)/(2x+1))

\frac{d y}{d x} = \frac{3 y - 2}{2 x + 1}

limit as x approaches 2 of (e^3)/x

x \to 2 lim (\frac{e ^{3}}{x})

(ln (\frac{1}{x}))^{^{'}}

tangent 6sqrt(x)

t an g e n t 6 x