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Q: (1) Solve the following differential equation Solution: 16d¹y dx4 d²y +24- dx2 +9y= 0.

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A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

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Q: 2 x² (+) = 2x²x² + x₁x² ² X2(t) = x, SIN(X2) + X₂ cos(x₁) Find the Jacobian of the system

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Q: Find x and y so that both A and B matrices below are not invertible: + 3y - 4 A = [ 2x + 33 0 7 ,9],…

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Q: 3. Prove that 3kN, Vn N, [n>k][1000m² + 10 ≤ n²]. Hints: you can divide both sides by n² and…

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Q: Select True or False for each value for x that solves the equation x2 = 300.

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Q: Solve each of the initial value problems. Clearly label the general solution, and then the…

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Q: H4. Consider an ODE d dx(t) = fi(x,y) ty(t) = f(x,y), d dt that has precisely two equilibrium…

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Q: (3) Solve the following differential equation y" - 2y+2y=2x-2, y(0) = 0, y(T) = π.

A: The solution has been provided.Explanation: