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Beliebt Rechnen >

y^{'''}+y^'=sec(t),y^{'''}(0)=-2

Lösung

y^{^{'''}} + y^{^{'}} = sec (t), y^{^{'''}} (0) = - 2

Lösung

y = c_{1} + c_{2} cos (t) + 3 sin (t) + ln (tan (t) + sec (t)) - t cos (t) + ln (cos (t)) sin (t)

Schritte zur Lösung

y^{'''} (t) + y^{'} (t) = sec (t)

Solve linear ODE:

y = c_{1} + c_{2} cos (t) + 3 sin (t) + ln (tan (t) + sec (t)) - t cos (t) + ln (cos (t)) sin (t)

y = c_{1} + c_{2} cos (t) + 3 sin (t) + ln (tan (t) + sec (t)) - t cos (t) + ln (cos (t)) sin (t)

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+y=2e^{3x}

\frac{d ^{2} y}{d x ^{2}} + y = 2 e^{3 x}

y^{'''}-y^{''}-4y^'+4y=10e^{3t}

y^{^{'''}} - y^{^{''}} - 4 y^{^{'}} + 4 y = 10 e^{3 t}

y^{''}-4y^'+4y=4xln(x)

y^{^{''}} - 4 y^{^{'}} + 4 y = 4 x ln (x)

(d^2-4d+3)y=e^{3x}cos(x)

(d^{2} - 4 d + 3) y = e^{3 x} cos (x)

y^{''}-4y^'+4y=4t^2-4t+26

y^{^{''}} - 4 y^{^{'}} + 4 y = 4 t^{2} - 4 t + 26