Final Answer
Step-by-step Solution
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Combining like terms $-2y$ and $y$
Learn how to solve differential equations problems step by step online.
$y^{''}-y=0$
Learn how to solve differential equations problems step by step online. Solve the differential equation y^''-2yy=0. Combining like terms -2y and y. Obtain the characteristic equation. Find the solutions to the quadratic equation r^{2}-1=0. Use a formula to find the general solution to the differential equation. Substituting each solution to the characteristic equation (r values) into the formula y=e^{rx} gives us a linearly independent solution. Then the general solution to the differential equation is the sum of all linearly independent solutions obtained.