Solving Homogeneous Differential Equations Worksheet

Solve the following differential equation.

Problem 1 :

Solution

Problem 2 :

(x³ + y³) dy - x² y dx = 0

Solution

Problem 3 :

Solution

Problem 4 :

2xy dx + (x² + 2y²) dy = 0

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Solve the following differential equation.

Problem 7 :

Solution

Problem 8 :

(x² + y²) dy = xy dx

It is given that y(1) = 1 and y(x₀) = e. Find the value of x₀

Solution