Name 1. (5) Given the DE (x + y) dx + xdy = 0 Verify...

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Advance Math

Name 1. (5) Given the DE (x + y) dx + xdy = 0 Verify that the DEis homogeneous.
Step 1. Find substitution. Write your answer in the box.
Step 2. Compute dy or dx: Show your work. Write your answer in thebox.
Step 3. Substitute into the DE. Simplify your answer. Write youranswer in the box.
Step 4. Solve modied DE. Show your work. Write your answer in thebox.
Step 5. Resubstitute. Write your answer in the box.
2. (5) Given the DE xdy(1 + x)y dxxy^2 dx = 0: Verify that the DEis a Bernoulli equation.
Step 1. Find substitution. Write your answer in the box.
Step 2. Compute dy dx: Show your work. Write your answer in thebox.
Step 3. Substitute into the DE. Simplify your answer. Write youranswer in the box.
Step 4. Solve modied DE. Show your work. Write your answer in thebox.
Step 5. Resubstitute. Write your answer in the box.

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