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MAT 275 Lab 7 ex1 differential equations solutions

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MAT 275
LAB 7
Exercise 1
Differential Equations
Solve:
1. dy/dx = x^1 y
2. dy/dx = x^2 y
3. dy/dx = x^3 y
4. dy/dx = x^4 y
5. dy/dx = x^5 y
6. dy/dx = x^6 y
7. dy/dx = x^7 y
8. dy/dx = x^8 y
9. dy/dx = x^9 y
10. dy/dx = x^10 y
Solution:
1. 1 Solution:
Separate variables: dy/y = x^n dx
Integrate both sides
Exponentiate to solve for y
2. 2 Solution:
Separate variables: dy/y = x^n dx
Integrate both sides
Exponentiate to solve for y
3. 3 Solution:
Separate variables: dy/y = x^n dx
Integrate both sides
Exponentiate to solve for y
4. 4 Solution:
Separate variables: dy/y = x^n dx
Integrate both sides
Exponentiate to solve for y
5. 5 Solution:
Separate variables: dy/y = x^n dx
Integrate both sides
Exponentiate to solve for y
6. 6 Solution:
Separate variables: dy/y = x^n dx
Integrate both sides
Exponentiate to solve for y
7. 7 Solution:
Separate variables: dy/y = x^n dx
Integrate both sides
Exponentiate to solve for y
8. 8 Solution:
Separate variables: dy/y = x^n dx
Integrate both sides
Exponentiate to solve for y
9. 9 Solution:
Separate variables: dy/y = x^n dx
Integrate both sides
Exponentiate to solve for y
10. 10 Solution:
Separate variables: dy/y = x^n dx
Integrate both sides
Exponentiate to solve for y
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