The differential equation d?y + 10 + 21y = 0 has characteristic equation da = 0 help (numbers) with roots help (numbers) Therefore there are two fundamental solutions help (formulas) Note: Enter the solutions as a comma separated list. Use these to solve the initial value problem d?y dy dy dx + 21y = 0, (0) = 1 dx + 10- y(0) = –1, dx? y(x) : help (formulas)

Q: Answer in complete solution this Differential Equation:…

A:

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A: Using variable separable method.

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A:

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A:

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A: Solution of this question is

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A: Introduction :

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A: This linear differential equation

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Q: (d) Find an equation for each of the graphs: For graph (1), x(t) = For graph (2), x(t) = = For graph…

A: To find the equations of the given graphs

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Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

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Q: 3. Solve differential equation y" - 3y + 4y = 0.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.