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Beliebt Rechnen >

(2+x^{10})(dy}{dx}=\frac{x^9)/y

Lösung

(2 + x^{10}) \frac{d y}{d x} = \frac{x ^{9}}{y}

Lösung

y = \frac{ln ( 2 + x ^{10} ) + c _{1}}{5}, y = - \frac{ln ( 2 + x ^{10} ) + c _{1}}{5}

Schritte zur Lösung

(2 + x^{10}) \frac{d y}{d x} = \frac{x ^{9}}{y}

Solve separable ODE:

y = \frac{ln ( 2 + x ^{10} ) + c _{1}}{5}, y = - \frac{ln ( 2 + x ^{10} ) + c _{1}}{5}

y = \frac{ln ( 2 + x ^{10} ) + c _{1}}{5}, y = - \frac{ln ( 2 + x ^{10} ) + c _{1}}{5}

Graph

Beliebte Beispiele

(dy)/(dx)y=(x^2-7)(x^3+4x+2)

\frac{d y}{d x} y = (x^{2} - 7) (x^{3} + 4 x + 2)

y^{^{'}} + 7 x ey = 0

(x^2}{y^2-1}y^'=\frac{3x^3)/y ,y(0)=2

\frac{x ^{2}}{y ^{2} - 1} y^{^{'}} = \frac{3 x ^{3}}{y}, y (0) = 2

(dy)/(dx)=110yx^{10},y(0)=2

\frac{d y}{d x} = 110 y x^{10}, y (0) = 2

4x^3y^4+4y^3 derivative of (yx^4)=0

4 x^{3} y^{4} + 4 y^{3} \frac{d}{d x} ((y) x^{4}) = 0