Question

1) Solve the given differential equation by finding, as in Example 4 of Section 2.4, an...

1) Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate integrating factor.

(14 − 20y + e−5x) dx − 4 dy = 0

2) Solve the given initial-value problem.

x dy/ dx + y = 2x + 1,   y(1) = 9

y(x) =

Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.)

I =

please show steps

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