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Beliebt Rechnen >

7t(dy)/(dt)+y=sqrt(t)

Lösung

7 t \frac{d y}{d t} + y = t

Lösung

y = \frac{2 t}{9} + \frac{c _{1}}{7 t}

Schritte zur Lösung

7 t \frac{d y}{d t} + y = t

Solve linear ODE:

y = \frac{2 t}{9} + \frac{c _{1}}{7 t}

y = \frac{2 t}{9} + \frac{c _{1}}{7 t}

Graph

Beliebte Beispiele

fläche x^2+2,2x+5,[-1,3]

a re a x^{2} + 2, 2 x + 5, [- 1, 3]

integral from 0 to 1 of 3sqrt(x)-3x

\int_{0}^{1} 3 x - 3 x d x

(dy)/(dx)= 1/x (y^2+0.4y)

\frac{d y}{d x} = \frac{1}{x} (y^{2} + 0.4 y)

integral of (x^2-4x+7)/((x+1)(x^2-2x+3))

\int \frac{x ^{2} - 4 x + 7}{( x + 1 ) ( x ^{2} - 2 x + 3 )} d x

tangent y=5tan(x)

t an g e n t y = 5 tan (x)