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Beliebt Rechnen >

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

Lösung

y^{^{'''}} + 4 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 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

integral of (x^3-3x+\sqrt[4]{x}-5)

\int (x^{3} - 3 x + 4 x - 5) d x

tangent y= 1/(5+2x),(-1, 1/3)

t an g e n t y = \frac{1}{5 + 2 x}, (- 1, \frac{1}{3})

x(dy)/(dx)=sqrt(x^2-y^2)+y

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

\int - t d t

limit as x approaches 3 of x(2/x+5)

x \to 3 lim (x (\frac{2}{x} + 5))