Differential Equations

Concept:

• General solution contains arbitrary constants equal to the order of the differential equation.
• Particular solution has no arbitrary constants.

Step 1: Understand the definition.
A particular solution is obtained after assigning specific values to constants.
Step 2:

Concept:

• Order = highest order derivative present
• Degree = power of highest order derivative after removing radicals

Step 1: Identify order. Highest derivative =
Step 2: Remove square roots. Square both sides:
Step 3: Find degree. Highest order derivative is squared: But due to highest power after simplification: