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Beliebt Rechnen >

y^{''}+y=2^x

Lösung

y^{^{''}} + y = 2^{x}

Lösung

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

Schritte zur Lösung

y^{''} (x) + y = 2^{x}

Solve linear ODE:

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

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

Beliebte Beispiele

integral from 1 to 3 of (x^5+1/(4x^5))

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

tangent f(x)= 3/x ,(-5,-3/5)

t an g e n t f (x) = \frac{3}{x}, (- 5, - \frac{3}{5})

sum from n=0 to infinity of sin(1/n)

n = 0 \sum \infty sin (\frac{1}{n})

integral of x^2sqrt(5x+8)

\int x^{2} 5 x + 8 d x

derivative 6(x-3)^{2/3}

d er i v a t i v e 6 (x - 3)^{\frac{2}{3}}