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Beliebt Rechnen >

2(dy}{dx}-\frac{(45x^4))/y =0

Lösung

2 \frac{d y}{d x} - \frac{( 45 x ^{4} )}{y} = 0

Lösung

y = 9 x^{5} + c_{1}, y = - 9 x^{5} + c_{1}

Schritte zur Lösung

2 \frac{d y}{d x} - \frac{( 45 x ^{4} )}{y} = 0

Solve separable ODE:

y = 9 x^{5} + c_{1}, y = - 9 x^{5} + c_{1}

y = 9 x^{5} + c_{1}, y = - 9 x^{5} + c_{1}

Graph

Beliebte Beispiele

derivative f(x)=sqrt(x+4)

d er i v a t i v e f (x) = x + 4

derivative (x^2-2x+2)/(x-1)

d er i v a t i v e \frac{x ^{2} - 2 x + 2}{x - 1}

integral of (4x^6+3x^5-8)/(x^5)

\int \frac{4 x ^{6} + 3 x ^{5} - 8}{x ^{5}} d x

(dy)/(dx)=((e^x-1))/(e^y)

\frac{d y}{d x} = \frac{( e ^{x} - 1 )}{e ^{y}}

(\partial)/(\partial y)(1+ln(x)+y/x)

\frac{\partial}{\partial y} (1 + ln (x) + \frac{y}{x})