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Beliebt Rechnen >

y^{''}+0.2x^2-0.35x=0

Lösung

y^{^{''}} + 0.2 x^{2} - 0.35 x = 0

Lösung

y = \frac{1}{20} (- \frac{x ^{4}}{3} + \frac{7 x ^{3}}{6}) + c_{1} x + c_{2}

Schritte zur Lösung

y^{''} (x) + 0.2 x^{2} - 0.35 x = 0

Isoliere

y^{''} (x) : y^{''} (x) = \frac{x ( - 4 x + 7 )}{20}

Löse

y^{''} (x) = \frac{x ( - 4 x + 7 )}{20} : y^{'} (x) = \frac{1}{20} (- \frac{4 x ^{3}}{3} + \frac{7 x ^{2}}{2}) + c_{1}

Löse

y^{'} (x) = \frac{1}{20} (- \frac{4 x ^{3}}{3} + \frac{7 x ^{2}}{2}) + c_{1} : y = \frac{1}{20} (- \frac{x ^{4}}{3} + \frac{7 x ^{3}}{6}) + c_{1} x + c_{2}

y = \frac{1}{20} (- \frac{x ^{4}}{3} + \frac{7 x ^{3}}{6}) + c_{1} x + c_{2}

Graph

Beliebte Beispiele

sum from n=1 to infinity of 1/(2^{3n)}

n = 1 \sum \infty \frac{1}{2 ^{3 n}}

derivative of ycos(x)

\frac{d}{d x} (y cos (x))

derivative cos(3x^2+4)*6x

d er i v a t i v e cos (3 x^{2} + 4) \cdot 6 x

integral of 1/(3x^2+6x+6)

\int \frac{1}{3 x ^{2} + 6 x + 6} d x

fläche sin(x),x=0,y=0,x= pi/6

a re a sin (x), x = 0, y = 0, x = \frac{π}{6}