661c4cf0-88b0-41f5-8471-d1b0076dab72 2 Martin Kraska 3 5 false true 0 7 decimal

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Differential equation

Sln t x t ODE.2 :

m t x t 2 diff * d t x t diff * + c t x * + F.0 Ω t * sin * ≡

Solution

Maxima asks for sign of expressions, the plugin assumes positivity and forwards a corresponding message

Sln 1 el 4*c*m-d^2 is assumed to be positive.

Solution, consisting of general solution of the homogeneous equation, depending on initial conditions and the particulars solution of the non-homogeneous ODE, depending on the excitation.

Sln 2 el t x e d t * 2 m * / -^k1 4 c * m / d 2^m 2^/ - sqrt t * 2 / sin * k2 4 c * m / d 2^m 2^/ - sqrt t * 2 / cos * + (* F.0 m * Ω 2^* F.0 c * - (t Ω * sin * F.0 d * Ω * t Ω * cos * + m 2^Ω 4^* d 2^2 c * m * - (Ω 2^* + c 2^+ / - ≡