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Beliebt Rechnen >

y^{'''}+16y^'=t

Lösung

y^{^{'''}} + 16 y^{^{'}} = t

Lösung

y = c_{1} + c_{2} cos (4 t) + c_{3} sin (4 t) + \frac{t ^{2}}{32}

Schritte zur Lösung

y^{'''} (t) + 16 y^{'} (t) = t

Solve linear ODE:

y = c_{1} + c_{2} cos (4 t) + c_{3} sin (4 t) + \frac{t ^{2}}{32}

y = c_{1} + c_{2} cos (4 t) + c_{3} sin (4 t) + \frac{t ^{2}}{32}

Graph

Beliebte Beispiele

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

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

y^{''''}-5y^{''}+4=0

y^{^{''''}} - 5 y^{^{''}} + 4 = 0

(y^{''})/8+32y=2cos(3t)+4

\frac{y ^{^{''}}}{8} + 32 y = 2 cos (3 t) + 4

y^{''}-3y^'+2y=x,y(0)=e^x

y^{^{''}} - 3 y^{^{'}} + 2 y = x, y (0) = e^{x}

y^{''}+y=2cos(x)+x

y^{^{''}} + y = 2 cos (x) + x