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Beliebt Rechnen >

(dy)/(dx)= y/x+3x+1

Lösung

\frac{d y}{d x} = \frac{y}{x} + 3 x + 1

Lösung

y = 3 x^{2} + x ln (x) + c_{1} x

Schritte zur Lösung

\frac{d y}{d x} = \frac{y}{x} + 3 x + 1

Solve linear ODE:

y = 3 x^{2} + x ln (x) + c_{1} x

y = 3 x^{2} + x ln (x) + c_{1} x

Graph

Beliebte Beispiele

tangent f(x)= x/(x^2+49)

t an g e n t f (x) = \frac{x}{x ^{2} + 49}

derivative of 2ln|x-e^x|

\frac{d}{d x} (2 ln ∣ x - e^{x} ∣)

(\partial)/(\partial y)(-1/(ln(10)(x-y)))

\frac{\partial}{\partial y} (- \frac{1}{ln ( 10 ) ( x - y )})

f(x)= 8/(sin(x)+cos(x))

f (x) = \frac{8}{sin ( x ) + cos ( x )}

fläche f(x)=x^2-12,g(x)=x-6,[2sqrt(3),6]

a re a f (x) = x^{2} - 12, g (x) = x - 6, [23, 6]