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In Problems 1–8 use the method of undetermined coefficients to solve the given nonhomogeneous system.
4.
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- 3. 2хydx - (3xу + 2y?)dy %3D0 o (x - 2y)*(2x +y) = c (х — у)"(х + у) %3 с (х + 2y) (2х- у)* %3 с (x – 2y)* = c(2x + y)arrow_forward1. Use RK4-Systeml to solve each of the following for 0sIs1.Use h = 2-k with k = 5, 6, and 7, and compare results. (x" =x² - y +e x" = 2(e - x)/2 y" = x - y -e b. %3D a. x(0) = 0 x'(0) = 1 x (0) = 0 x'(0) = 0 y(0) = 1 y'(0) = -2arrow_forward(6) Solve the following system of ODES: x'+y'+x=-e- x+2y+2x+2y = 0 and x(0) = -1 and y(0) = 1 HINT: The s-space algebraic equations are s+1 -1/(s+1) 2K*} = s+2 2s+2 Y solve these equations to obtainarrow_forward
- Q. No. 11 The solution of the DE 3ry" + y/ – y = 0 (a) yı = rš[1 – {x +²+...], y2 = 1+x – 20² + ... (b) yı = a3[1 – r +a² + ...], y2 = 1+ 2x – 2x² + ... (c) yı = xš[1 – x + a² + ...], y2 =1+ 2x – 2x3 + ... (d) yı = [1 – x + x² + ...], y2 = 1+ 2x – 2x2 +... solve this and tick the correct optionarrow_forward1. Suppose we are given y1(x) and y2(x) (with y1 ≠ y2), which are two different solutions of a nonhomogeneous equation y′′+p(x)y′+q(x)y=g(x)(1)In three steps, describe how to write down the general solution of (1): Step 1: Step 2: Step 3:arrow_forward3. Solve the following using Two Phase Method MIN Z = x1 + x2 subject to 2x1 + x2 >= 4 x1 + 7x2 >= 7 and x1,x2 >= 0arrow_forward
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- 1. Solve x' = Ax + b, if A 4 -3 and b 2t -1 -1 -2 2 -18e3t 72e3t 54e3t 2. Solve x' = Ax + b, if A : 2 4 -1 and b 3 3. Find the general solution to the system d 1 2e2t x+ dt -1 4 e3t for 0 2arrow_forwardSuppose that f(t) = e (1−2i)t is a complex solution for an unknown second-order linear equation ay”+by’+cy = 0, where a, b and c are real numbers. What is the real general solution for the equation? You do not have to compute the Wronskian.arrow_forwardSolve this.arrow_forward
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