Ordinary Differential Equations/First Order Linear 4

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1)

Step 1: Find

Letting C=1, we get


Step 2: Multiply through

Step 3: Recognize that the left hand is

Step 4: Integrate

Step 5: Solve for y


2)

Step 1: Find

Letting C=1, we get


Step 2: Multiply through

Step 3: Recognize that the left hand is

Step 4: Integrate

Step 5: Solve for y

3)

Step 1: Rearrange

Step 2: Substitute

Step 3: Find

Integrating Factor

Step 4: Solve for y