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1. 2. 3. 4. Solve the differential equation. y'' - 6y' + 45y = 0. {image} {image} {image} {image}. 1. 2. 3. 4. Solve the differential equation. y'' - 6y' + 9y = 0. {image} {image} {image} {image}. 1. 2. 3.
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1. 2. 3. 4. Solve the differential equation. y'' - 6y' + 45y = 0 • {image} • {image} • {image} • {image}
1. 2. 3. 4. Solve the differential equation. y'' - 6y' + 9y = 0 • {image} • {image} • {image} • {image}
1. 2. 3. Graph the two basic solutions of the differential equation and several other solutions. {image} • {applet} • {applet} • {applet}
1. 2. 3. 4. Solve the initial-value problem. y'' - 64y = 0, y(0) = 10, y'(0) = 0 • {image} • {image} • {image} • {image}
1. 2. 3. 4. Solve the initial-value problem. {image} • {image} • {image} • {image} • {image}
1. 2. 3. 4. Solve the boundary-value problem, if possible. {image} • No solution • {image} • {image} • {image}
1. 2. 3. 4. Solve the boundary-value problem, if possible. y'' + 2y' - 63y = 0, y(0) = 0, y(2) = 1 • {image} • No solution • {image} • {image}