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Beliebt Rechnen >

(d^2)/(dx^2)(θ(x))-(a+b)θ(x)=(a*c+b)

Lösung

\frac{d ^{2} θ}{d x ^{2}} - (a + b) θ = (a \cdot c + b)

Lösung

θ = c_{1} e^{a + b x} + c_{2} e^{- a + b x} + \frac{c a + b}{- a - b}

Schritte zur Lösung

\frac{d ^{2} θ}{d x ^{2}} - (a + b) θ = (a \cdot c + b)

Solve linear ODE:

θ = c_{1} e^{a + b x} + c_{2} e^{- a + b x} + \frac{c a + b}{- a - b}

θ = c_{1} e^{a + b x} + c_{2} e^{- a + b x} + \frac{c a + b}{- a - b}

Graph

Beliebte Beispiele

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

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

y^{''}+y-1=0,y(0)=0,y(1)=0

y^{^{''}} + y - 1 = 0, y (0) = 0, y (1) = 0

y^{''}-y^'=4xe^x

y^{^{''}} - y^{^{'}} = 4 x e^{x}

solvefor d,d(q)=(300)/(0.4q+8)

so l v e f or d, d (q) = \frac{300}{0.4 q + 8}

y^{''}+4y^'+3y=1-\H(t-2)+\H(t-6)

y^{^{''}} + 4 y^{^{'}} + 3 y = 1 - H (t - 2) + H (t - 6)