Question

The function y = c1 cos 2x + c2 sin 2x is a two-parameter family of solutions of the second-order differential equation y'' + 4y = 0. Find the values of c1 and c2 so that the solution satisfies the following boundary conditions. y(?) = 9, y(?/6) = 2. Enter your answer symbolically, as in these examples c1 and c2 (in that order) separated with a comma.

          The function y = c1 cos 2x + c2 sin 2x is a two-parameter family of solutions of the second-order differential equation y'' + 4y = 0. Find the values of c1 and c2 so that the solution satisfies the following boundary conditions.

y(?) = 9, y(?/6) = 2.

Enter your answer symbolically, as in these examples c1 and c2 (in that order) separated with a comma.

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The function y = c1 cos 2x + c2 sin 2x is a two-parameter family of solutions of the second-order differential equation y” + 4y = 0. Find the values of c1 and c2 so that the solution satisfies the following boundary conditions.

y(?) = 9, y(?/6) = 2.

Enter your answer symbolically, as in these examples c1 and c2 (in that order) separated with a comma.

Added by Shannon G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Linda Hand

05/06/2022

Step 1

We are given two boundary conditions: y(0) = 9 and y(16) = 2. We can use these conditions to solve for C1 and C2. First, plug x = 0 into the general solution to get the first equation: 9 = C1 cos 0 + C2 sin 0 9 = C1 * 1 + C2 * 0 So, C1 = 9. Show more…

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The function y = c1 cos 2x + c2 sin 2x is a two-parameter family of solutions of the second-order differential equation y'' + 4y = 0. Find the values of c1 and c2 so that the solution satisfies the following boundary conditions. y(π) = 9, y(π/6) = 2. Enter your answer symbolically, c1 and c2 (in that order) separated with a comma.

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