Find the spring constant, Derive the auxiliary equation for

Find the spring constant

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Reference no: EM132329982

Differential Equations

Higher-Order Linear Differential Equations with Constant Coefficients

1. Derive the auxiliary equation for the fourth order Cauchy-Euler equation.

2. Given that y₁ = cos x is a solution of y" + y' = 0 , find a second solution y₂ such that y, and y₂ form a fundamental solution set.

3. Find the general solution of y"- 6y' +9y = 0 .

4. Find the general solution of y" + 3y' + 4y = 8x + 2.

5. A spring attached to the ceiling is stretched one foot by a four-pound weight. Find the spring constant.

6. Find the general solution of x² y" - 2xy' + 2y = 0.

Reference no: EM132329982

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