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Beliebt Rechnen >

y^{''}-y^'=x+sin(x)

Lösung

y^{^{''}} - y^{^{'}} = x + sin (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) - y^{'} (x) = x + sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+17y=5e^x

y^{^{''}} + 17 y = 5 e^{x}

y^{''}+3y^'+2y= 1/((9+e^x))

y^{^{''}} + 3 y^{^{'}} + 2 y = \frac{1}{( 9 + e ^{x} )}

solvefor d,d(x)=log_{10}((x+4)/(x-1))

so l v e f or d, d (x) = lo g_{10} (\frac{x + 4}{x - 1})

y^{''}+(y^')2+9=0

y^{^{''}} + (y^{^{'}}) 2 + 9 = 0

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

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