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EBK DIFFERENTIAL EQUATIONS AND LINEAR A
- Given the system of equations (D+2)x+ D³y=t² + 3t, D³x + (D+4)y=e¹, (a) Write the system as a differential equation for a, in operator form, by filling the polynomial operator in D (on the left-hand-side of the equation) and the corresponding right-hand-side of the equation: (Write your expression for the right-hand-side as a function of t only---that is, with no derivative operators.) (b) Note that we could equally well solve for y. Do this here, obtaining an equivalent differential equation for y. y = (Write your expression for the right-hand-side as a function of t only---that is, with no derivative operators.)arrow_forwardIn each of Problems 1 through 8, express the general solution of the given system of equations in terms of real-valued functions:arrow_forwardConsider the following two systems of equations: 5x1 + x2 – 3x3 — Зхз — 0 5х1 + X2 — Зхз — - 3x3 -9x1 + 2x2 + 5x3 = 1 -9x1 + 2x2 + 5x3 = 5 4x1 + x2 – 6x3 = 9 4.x1 + x2 – 6x3 = 45 = 45 It can be shown that the first system has a solution. Use this fact and the theory from this section to explain why the second system must also have a solution. (Make no row operations.)arrow_forward
- Solve the system of differential equations consisting of the following equations: (D−2)x−y=0 (D+3)y+4x=0arrow_forwardFind the solution to following system of equations by Gauss-Seidel Method,accurate to five (5) decimal digits. Start with x1 = x2 = x3 = x4 = x5 = x6 = 0.arrow_forwardWhat would the two solutions be for this problem?arrow_forward
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