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Beliebt Rechnen >

y^'=((x-2)^2)/y ,y(3)=1

Lösung

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

Lösung

y = \frac{2 x ^{3}}{3} - 4 x^{2} + 8 x - 5

Schritte zur Lösung

y^{'} (x) = \frac{( x - 2 ) ^{2}}{y}

Solve separable ODE:

y = \frac{2 x ^{3}}{3} - 4 x^{2} + 8 x - 5

y = \frac{2 x ^{3}}{3} - 4 x^{2} + 8 x - 5

Graph

Beliebte Beispiele

((3+x)dy)/(dx)=8y

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

y^'=((y+13))/(5x+6)

y^{^{'}} = \frac{( y + 13 )}{5 x + 6}

(dy)/(dx)=6x^6y-y

\frac{d y}{d x} = 6 x^{6} y - y

(((x+1)^2+6)/(4(x+1)))(dy)/(dx)=tan(y)

(\frac{( x + 1 ) ^{2} + 6}{4 ( x + 1 )}) \frac{d y}{d x} = tan (y)

x^{^{'}} - x = - 1