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Beliebt Rechnen >

t^2y^'+y=sin(t)

Lösung

t^{2} y^{^{'}} + y = sin (t)

Lösung

y = e^{\frac{1}{t}} \cdot \int \frac{e ^{- \frac{1}{t}} sin ( t )}{t ^{2}} d t

Schritte zur Lösung

t^{2} y^{'} (t) + y = sin (t)

Solve linear ODE:

y = e^{\frac{1}{t}} \cdot \int \frac{e ^{- \frac{1}{t}} sin ( t )}{t ^{2}} d t

y = e^{\frac{1}{t}} \cdot \int \frac{e ^{- \frac{1}{t}} sin ( t )}{t ^{2}} d t

Beliebte Beispiele

derivative of-arcsin((sqrt(a^2-x^2)/a))

\frac{d}{d x} (- arcsin (\frac{a ^{2} - x ^{2}}{a}))

tangent y=x^2,\at x=-3/4

t an g e n t y = x^{2}, at x = - \frac{3}{4}

fläche y=x^2-2x,y=2-x

a re a y = x^{2} - 2 x, y = 2 - x

integral of 3^{4x+6}

\int 3^{4 x + 6} d x

(\partial)/(\partial x)(2y+x^2+1)

\frac{\partial}{\partial x} (2 y + x^{2} + 1)