Final Answer
Step-by-step Solution
Specify the solving method
Obtain the characteristic equation
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$r^{2}+25=0$
Learn how to solve differential equations problems step by step online. Solve the differential equation y^''+25y=0. Obtain the characteristic equation. Find the solutions to the quadratic equation r^{2}+25=0. Take only the positive solution (the one where the coefficient of i is greater than 0). Express the complex root (r=5i) in the form r=a+bi where a and b are constants.