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Beliebt Rechnen >

y^{''}-n^2y=(2cos(pin)x)/n

Lösung

y^{^{''}} - n^{2} y = \frac{2 cos ( πn ) x}{n}

Lösung

y = c_{1} e^{n x} + c_{2} e^{- n x} - \frac{2 ( - 1 ) ^{n} x}{n ^{3}}

Schritte zur Lösung

y^{''} (x) - n^{2} y = \frac{2 cos ( πn ) x}{n}

Solve linear ODE:

y = c_{1} e^{n x} + c_{2} e^{- n x} - \frac{2 ( - 1 ) ^{n} x}{n ^{3}}

y = c_{1} e^{n x} + c_{2} e^{- n x} - \frac{2 ( - 1 ) ^{n} x}{n ^{3}}

Graph

Beliebte Beispiele

y^{''}+8y^'-2y= 5/(e^{3t)}

y^{^{''}} + 8 y^{^{'}} - 2 y = \frac{5}{e ^{3 t}}

y^{''}+4y=sin(x),y(0)=0,y(1)=0

y^{^{''}} + 4 y = sin (x), y (0) = 0, y (1) = 0

(d - 4)^{6} y = 5 e^{4} x

y^{''}-81y=-243t+162t^2

y^{^{''}} - 81 y = - 243 t + 162 t^{2}

5x^{''}+10x^'+30x=300

5 x^{^{''}} + 10 x^{^{'}} + 30 x = 300