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Beliebt Rechnen >

(3+x^8)(dy}{dx}=\frac{x^7)/y

Lösung

(3 + x^{8}) \frac{d y}{d x} = \frac{x ^{7}}{y}

Lösung

y = \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}, y = - \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}

Schritte zur Lösung

(3 + x^{8}) \frac{d y}{d x} = \frac{x ^{7}}{y}

Solve separable ODE:

y = \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}, y = - \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}

y = \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}, y = - \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}

Graph

Beliebte Beispiele

x^'=x^2+1/36 ,x(0)=7

x^{^{'}} = x^{2} + \frac{1}{36}, x (0) = 7

(dy)/(dx)+5xy=8x,y(0)=2

\frac{d y}{d x} + 5 x y = 8 x, y (0) = 2

y^'=-(2y)/(100+2t)

y^{^{'}} = - \frac{2 y}{100 + 2 t}

y^'=(1-y)*(2-y)

y^{^{'}} = (1 - y) \cdot (2 - y)

(4dy)/((x^2+1dx))= 1/(2y)

\frac{4 d y}{( x ^{2} + 1 d x )} = \frac{1}{2 y}