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Beliebt Rechnen >

(d^4y)/(dx^4)+3(d^2y)/(dx^2)-4=0

Lösung

\frac{d ^{4} y}{d x ^{4}} + 3 \frac{d ^{2} y}{d x ^{2}} - 4 = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{4} y}{d x ^{4}} + 3 \frac{d ^{2} y}{d x ^{2}} - 4 = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

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