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Beliebt Rechnen >

(dy)/(dt)=(5+sin(t))*(y/5)

Lösung

\frac{d y}{d t} = (5 + sin (t)) \cdot (\frac{y}{5})

Lösung

y = e^{t - \frac{1}{5} c o s (t) + c_{1}}

Schritte zur Lösung

\frac{d y}{d t} = (5 + sin (t)) \cdot (\frac{y}{5})

Solve separable ODE:

y = e^{t - \frac{1}{5} c o s (t) + c_{1}}

y = e^{t - \frac{1}{5} c o s (t) + c_{1}}

Graph

Beliebte Beispiele

integral of (x+11)/((x-4)(x+1))

\int \frac{x + 11}{( x - 4 ) ( x + 1 )} d x

derivative y=sqrt(ax+b)

d er i v a t i v e y = a x + b

fläche x^2=y,x^2=-(y-2)

a re a x^{2} = y, x^{2} = - (y - 2)

(\partial)/(\partial x)(x+3y^{1/3})

\frac{\partial}{\partial x} (x + 3 y^{\frac{1}{3}})

-y^'+(3y)/x =(y^2)/x

- y^{^{'}} + \frac{3 y}{x} = \frac{y ^{2}}{x}