In Problems 21–24, solve the given initial value problem using the method of Laplace transforms. Sketch the graph of the solution.
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Fundamentals of Differential Equations and Boundary Value Problems
- Solve the initial value problem. y" + 8y' + 25y = 0; y(0) = 2 y'(0) = - 7 Chapter 6, Section 6.2, Go Tutorial Problem 12 Good. Find Y(s). 2.s – 9 Y(s) = s2 + 8s + 25 2.s + 9 Y(s) = - s2 + 8s + 25 s2 + 8s + 25 Y(s) = 2s + 9 2s + 9 Y(s) = s² + 8s + 25arrow_forwardSolve the equations in Exercises 1–6 by the method of undetermined coefficients. 1. y′′ - 3y′ - 10y = -3 2. y′′ - y′ = sin x 3. y′′ + y = cos 3x 4. y′′ - 3y′ - 10y = 2x - 3 5. y′′ + 2y′ + y = x2 6. y′′ + y = e2xarrow_forwardSolve the equations in Exercises 1–5 by the method of undetermined coefficients. 1. y′′ - y′ - 2y = 20 cos x 2. y′′ - y = ex + x2 3. y′′ + y = 2x + 3ex 4. y′′ + 2y′ + y = 6 sin 2x 5. y′′ - y′ - 6y = e-x - 7 cos xarrow_forward
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