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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(\partial)/(\partial y)((x^2+y^2)/(x^2-y^2))

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

(\partial)/(\partial x)(sqrt(4-x^2-4Y(x)^2))

\frac{\partial}{\partial x} (4 - x^{2} - 4 Y (x)^{2})

derivative of-x^3+5x^2-6x

\frac{d}{d x} (- x^{3} + 5 x^{2} - 6 x)

integral of ((x^2))/(1+x^2)

\int \frac{( x ^{2} )}{1 + x ^{2}} d x

derivative y= 4/(5-3(x))

d er i v a t i v e y = \frac{4}{5 - 3 ( x )}