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Beliebt Rechnen >

y^{''}+4y=x^2+3e^x

Lösung

y^{^{''}} + 4 y = x^{2} + 3 e^{x}

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} - \frac{1}{8} + \frac{3}{5} e^{x}

Schritte zur Lösung

y^{''} (x) + 4 y = x^{2} + 3 e^{x}

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} - \frac{1}{8} + \frac{3}{5} e^{x}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} - \frac{1}{8} + \frac{3}{5} e^{x}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(cos(kx))

\frac{\partial}{\partial x} (cos (k x))

steigung (-4,3),(-1,-6)

s l o p e (- 4, 3), (- 1, - 6)

integral of x^2sqrt(4-x^2)

\int x^{2} 4 - x^{2} d x

integral of (z+1)e^{3z}

\int (z + 1) e^{3 z} d z

tangent y^3+3y^2=x^4-3x^2,(-2,1)

t an g e n t y^{3} + 3 y^{2} = x^{4} - 3 x^{2}, (- 2, 1)