System of Differential Equations – Find the General Solution of the given systems. Make sure to indicate your Eigenvalues and Eigenvectors.

Modeling with first order differential linear equations: A tank contains 100 gallons of water and 50 oz of salt. water containing a salt concentration of 1/4(1+1/2sint) oz/gal flows into the tank at a rate of 2 gal/min, and the mixture in the tanks flows out at the same rate. a. find the amount of salt in the tank at any time.

x = t°x1 + 2x2 + sec(t), x, = sin(t) x1 + tx2 – 3. %3D This system of linear differential equations can be put in the form x = P(t)x + g(t). Determine P(t) and g(t). help (formulas) help (matrices) P(t) : help (formulas) help (matrices) g(t):

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