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Beliebt Rechnen >

y^'=3-(2y)/(200+x)

Lösung

y^{^{'}} = 3 - \frac{2 y}{200 + x}

Lösung

y = \frac{120000 x}{40000 + 400 x + x ^{2}} + \frac{600 x ^{2}}{40000 + 400 x + x ^{2}} + \frac{x ^{3}}{40000 + 400 x + x ^{2}} + \frac{c _{1}}{40000 + 400 x + x ^{2}}

Schritte zur Lösung

y^{'} (x) = 3 - \frac{2 y}{200 + x}

Solve linear ODE:

y = \frac{120000 x}{40000 + 400 x + x ^{2}} + \frac{600 x ^{2}}{40000 + 400 x + x ^{2}} + \frac{x ^{3}}{40000 + 400 x + x ^{2}} + \frac{c _{1}}{40000 + 400 x + x ^{2}}

y = \frac{120000 x}{40000 + 400 x + x ^{2}} + \frac{600 x ^{2}}{40000 + 400 x + x ^{2}} + \frac{x ^{3}}{40000 + 400 x + x ^{2}} + \frac{c _{1}}{40000 + 400 x + x ^{2}}

Graph

Beliebte Beispiele

integral of (2+x)/(9+x^2)

\int \frac{2 + x}{9 + x ^{2}} d x

integral of 2/((25+x^2)^{3/2)}

\int \frac{2}{( 25 + x ^{2} ) ^{\frac{3}{2}}} d x

y^{''}+ay^'+by=0

y^{^{''}} + a y^{^{'}} + b y = 0

integral of xsqrt(a^2-x^2)

\int x a^{2} - x^{2} d x

derivative f(x)=sqrt((x^2*7^x)^7)

d er i v a t i v e f (x) = (x^{2} \cdot 7^{x})^{7}