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Beliebt Rechnen >

2ty^'-4y=4t^4e^{t^2},y(1)=0

Lösung

2 t y^{^{'}} - 4 y = 4 t^{4} e^{t^{2}}, y (1) = 0

Lösung

y = e^{t^{2}} t^{2} - e t^{2}

Schritte zur Lösung

2 t y^{'} (t) - 4 y = 4 t^{4} e^{t^{2}}

Solve linear ODE:

y = e^{t^{2}} t^{2} - e t^{2}

y = e^{t^{2}} t^{2} - e t^{2}

Graph

Beliebte Beispiele

derivative of-6/((1+x^4))

\frac{d}{d x} (- \frac{6}{( 1 + x ) ^{4}})

integral of 1/(sqrt(1+5x^2))

\int \frac{1}{1 + 5 x ^{2}} d x

integral of 4sin^3(xco)s^2x

\int 4 sin^{3} (x co) s^{2} x d x

tangent y=sqrt(x+225),(0,15)

t an g e n t y = x + 225, (0, 15)

integral of 2x^2-2

\int 2 x^{2} - 2 d x