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Beliebt Rechnen >

y^{'''}+4*y^'=3x-1

Lösung

y^{^{'''}} + 4 \cdot y^{^{'}} = 3 x - 1

Lösung

y = c_{1} + c_{2} cos (2 x) + c_{3} sin (2 x) + \frac{3 x ^{2}}{8} - \frac{x}{4}

Schritte zur Lösung

y^{'''} (x) + 4 \cdot y^{'} (x) = 3 x - 1

Solve linear ODE:

y = c_{1} + c_{2} cos (2 x) + c_{3} sin (2 x) + \frac{3 x ^{2}}{8} - \frac{x}{4}

y = c_{1} + c_{2} cos (2 x) + c_{3} sin (2 x) + \frac{3 x ^{2}}{8} - \frac{x}{4}

Graph

Beliebte Beispiele

limit as x approaches 1 of e^{4x^5-4x}

x \to 1 lim (e^{4 x^{5} - 4 x})

(\partial)/(\partial x)(x^2y^3+2x^4y)

\frac{\partial}{\partial x} (x^{2} y^{3} + 2 x^{4} y)

derivative of 3x^4-5x^2+1

\frac{d}{d x} (3 x^{4} - 5 x^{2} + 1)

d/(dy)((2x)/(x^2+y^2))

\frac{d}{d y} (\frac{2 x}{x ^{2} + y ^{2}})

derivative of (4-x^2^3)

\frac{d}{d x} ((4 - x^{2})^{3})