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Consider the ODE y" +ay' +by=0, (1) where a and b are constants. Let y=elx. Suppose that the characteristic equation of
Posted: Thu May 12, 2022 12:38 pm
by answerhappygod
- Consider The Ode Y Ay By 0 1 Where A And B Are Constants Let Y Elx Suppose That The Characteristic Equation Of 1 (40.34 KiB) Viewed 29 times
Consider the ODE y" +ay' +by=0, (1) where a and b are constants. Let y=elx. Suppose that the characteristic equation of (1) is 12 +82 + 20 = 0. A general solution of (1) is O y=c1e4x + ca ce4x O y=cie -42 -40 cos(2x) + c2e sin(2x) – 6 x е O y=cje-2x + cze O y=c1e4x cos(2x) + c2e4x sin(2x) O = C1-42+c2ce O y=ce2x + c2e6 x -42