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Beliebt Rechnen >

y^'=t^{0.5},y(0)=0

Lösung

y^{^{'}} = t^{0.5}, y (0) = 0

Lösung

y = 0.66666 \dots t^{1.5}

Schritte zur Lösung

y^{'} (t) = t^{0.5}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int t^{0.5} d t

\int t^{0.5} d t = 0.66666 \dots t^{1.5} + c_{1}

y = 0.66666 \dots t^{1.5} + c_{1}

Wende die Anfangsbedingung an:

y = 0.66666 \dots t^{1.5}

y = 0.66666 \dots t^{1.5}

Graph

Beliebte Beispiele

derivative of 5xe^{3x}

\frac{d}{d x} (5 x e^{3 x})

integral from 0 to pi/3 of 8sec^3(x)

\int_{0}^{\frac{π}{3}} 8 sec^{3} (x) d x

tangent f(x)=sqrt(7x+2),(2,4)

t an g e n t f (x) = 7 x + 2, (2, 4)

xy^'+y=e^x,y(1)=1

x y^{^{'}} + y = e^{x}, y (1) = 1

slopeintercept (3,6),(5,-8)

s l o p e in t erce pt (3, 6), (5, - 8)