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In Problems 21–30 find the general solution of the given system.
29.
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Chapter 8 Solutions
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
- Example 1.21 y" + 5y" + 12y' + 8y = 5sin2x + 10x? - 3x + 7 private solution yo =?arrow_forward11. What is the general solution of* (2x – y)dx + (4x + y - 6)dy = 0 (2 +y – 3) = c(2x + y - 4)2 (x – y + 3)? = c(2æ + y – 4)3 Option 1 Option 2 (2 - y - 3) = c(2r - y- 4) (x+y - 3) = c(x + 2y – 4)?arrow_forward4. Suppose the following functions are a general solution of: y(4) + a3y" +a2y" + a1y' + a0y = 0arrow_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_forward2. Find the general solution of y (4) + 2y" + y = 0arrow_forward3. 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_forward
- 3. Find the solution to the linear system of differential equations x=x-4y y = 4x+9yarrow_forwardDetermine the solution of (2x - 3y + 2)dx + (2x - 3y + 1)dy = 0. a. 10x + 10y + ln(10x - 15y + 8)2 = c b. 10x + 10y + ln(10x - 15y - 8)2 = c c. 10x - 10y + ln(10x + 15y + 8)2 = c d. 10x - 10y - ln(10x + 15y + 8)2 = carrow_forwardProblem 2. What solution of the linear system of differential equations x = x1 – 3.x2 x2 = 3x1 + x2 satisfies the initial conditions X1(0) = 4, X2(0) = 7?arrow_forward
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