Write the linear system in matrix form: dx/dt = -3x + 4y + e* sin(2t) dy/dt = 5x + 9z + 4et cos(2t) dz/dt = y + 6z - et %3D 2) Write the given system without the use of matrices: 3 sin t + dt 2t +

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Q: 2.a) Write the IVP y" + 4y = 9 cos t, y(0) = 3, y'(0) = 4 as a system of first order ODES in terms…

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Q: ) Write the IVP y" + 4y = 9 cos t, y(0) = 3, y'(0) = 4 as a system of first order ODES in terms of…

A: Given :-  The IVP  y'' + 4y = 9 cos t                 , y (0) = 3 , y' (0) = 4

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.