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Beliebt Rechnen >

y^{''}-5y^'=3cos(x)

Lösung

y^{^{''}} - 5 y^{^{'}} = 3 cos (x)

Lösung

y = c_{1} e^{5 x} + c_{2} - \frac{15}{26} sin (x) - \frac{3}{26} cos (x)

Schritte zur Lösung

y^{''} (x) - 5 y^{'} (x) = 3 cos (x)

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} - \frac{15}{26} sin (x) - \frac{3}{26} cos (x)

y = c_{1} e^{5 x} + c_{2} - \frac{15}{26} sin (x) - \frac{3}{26} cos (x)

Graph

Beliebte Beispiele

y^{''}-2y^'+2y=e^2x(cos(x)-8sin(x))

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{2} x (cos (x) - 8 sin (x))

y^{''}-4y=6cos(3x+30)

y^{^{''}} - 4 y = 6 cos (3 x + 3 0^{\circ})

y^{'''}+y^{''}+y^'=e^x

y^{^{'''}} + y^{^{''}} + y^{^{'}} = e^{x}

y^{''}-8y^'+16y=2e^{4x}+3cos(4x)-2x+1

y^{^{''}} - 8 y^{^{'}} + 16 y = 2 e^{4 x} + 3 cos (4 x) - 2 x + 1

x^{''}-6x^'+9x=5te^{3t}

x^{^{''}} - 6 x^{^{'}} + 9 x = 5 t e^{3 t}