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Beliebt Rechnen >

y^'=(ty^2-1)y,y(1)= 1/(sqrt(2))

Lösung

y^{^{'}} = (t y^{2} - 1) y, y (1) = \frac{1}{2}

Lösung

y = \frac{2}{2 t + 1 + e ^{2 (t - 1)}}

Schritte zur Lösung

y^{'} (t) = (t y^{2} - 1) y

Solve Bernoulli ODE:

y = \frac{2}{2 t + 1 + e ^{2 (t - 1)}}

y = \frac{2}{2 t + 1 + e ^{2 (t - 1)}}

Graph

Beliebte Beispiele

integral of 1-e^{3x}

\int 1 - e^{3 x} d x

tangent f(x)= 3/x ,(3,1)

t an g e n t f (x) = \frac{3}{x}, (3, 1)

x^2y^'+4xy=(sin(2x))/(x^2)

x^{2} y^{^{'}} + 4 x y = \frac{sin ( 2 x )}{x ^{2}}

derivative of Ce^{-x}

\frac{d}{d x} (C e^{- x})

integral of w/((1+w)^{3/4)}

\int \frac{w}{( 1 + w ) ^{\frac{3}{4}}} d w