EducationODE Flow Chart
A SelectSmart.com Flowchart by Charles_GR
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Order 1
NO
 
Order 2
 
 

YES




YES




Separable
NO
Linear
YES
Linear
 
 

YES



NO

YES




Linear
NO
Separate the variables then integrate
Constant coefficients
 
 

YES




YES




Constant coefficients
NO
Separate the variables then integrate OR Multiply by integrating factor then integrate both sides and solve
Homogeneous
 
 

YES




YES

NO



Homogeneous
NO
Separate the variables then integrate OR Multiply by integrating factor then integrate both sides and solve OR Use auxiliary equation to find complementary function Use comparing coefficients method to find particular integral Form the general solution by adding these two together
Solve auxiliary equation and use roots to find general solution
Solve auxiliary equation and use roots to find complementary function Use comparing coefficients method to find particular integral Form the general solution by adding these two together
 

YES








Separate the variables then integrate OR Multiply by integrating factor then integrate both sides and solve OR Solve auxiliary equation and use roots to find general solution