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Differential Equations

Differential Equations

Solutions to Differential Equations Examples

Example 1

Determine if x = 5 is a solution to the equation

x2 + 6 = 4x + 11.

Example 2

Determine if x = 4 is a solution to the equation

x2 + 6 = 4x + 11.

Example 3

Determine whether the function y = x2 is a solution to the d.e.

xy' = 2y.

Example 4

Determine whether the function y = x2 + 4 satisfies the d.e.

xy' = 2y.

Example 5

Show that the function y = xex is a solution to the d.e.

Example 6

Show that y = x ln x is not a solution to the d.e.

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