(More in the next set.) (a) Verify that the given functions are linearly independent and form a basis of solutions of the given ODE. (b) Solve the IVP. Graph or sketch the solution. 15. 4y" + 25y = 0, y(0) = 3.0, y'(0) = -2.5, cos 2.5x, sin 2.5x

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(More in the next set.) (a) Verify that the given functions are linearly independent and form
a basis of solutions of the given ODE. (b) Solve the IVP. Graph or sketch the solution.
• 15. 4y" + 25y= 0, y(0) = 3.0, y'(0) = -2.5, cos 2.5x, sin 2.5x
Transcribed Image Text:(More in the next set.) (a) Verify that the given functions are linearly independent and form a basis of solutions of the given ODE. (b) Solve the IVP. Graph or sketch the solution. • 15. 4y" + 25y= 0, y(0) = 3.0, y'(0) = -2.5, cos 2.5x, sin 2.5x
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