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Beliebt Rechnen >

2t^2((dx)/(dt))=3tx+x^2

Lösung

2 t^{2} (\frac{d x}{d t}) = 3 t x + x^{2}

Lösung

x = \frac{t ^{\frac{1}{2}} ( c _{1} t + t ^{\frac{3}{2}} )}{c _{1}^{2} - t}

Schritte zur Lösung

2 t^{2} (\frac{d x}{d t}) = 3 t x + x^{2}

Solve Bernoulli ODE:

x = \frac{t ^{\frac{1}{2}} ( c _{1} t + t ^{\frac{3}{2}} )}{c _{1}^{2} - t}

x = \frac{t ^{\frac{1}{2}} ( c _{1} t + t ^{\frac{3}{2}} )}{c _{1}^{2} - t}

Graph

Beliebte Beispiele

f (x) = 5 sin (x)

derivative f(x)=e^{-5x^4}

d er i v a t i v e f (x) = e^{- 5 x^{4}}

fläche y=4x+2,0,4

a re a y = 4 x + 2, 0, 4

inverselaplace 1/(sqrt(s+1))

in v erse l a pl a ce \frac{1}{s + 1}

tangent f(x)=6tan(x),\at x= pi/6

t an g e n t f (x) = 6 tan (x), at x = \frac{π}{6}