SUBSTITUTION METHOD DIFFERENTIAL EQUATIONS EXAMPLES

Let the differential equation is in the form

dy/dx = f(ax + by + c)

i) If a ≠ 0 and b ≠ 0, then the substitution ax + by + c = z reduces the given equation to the variable separable form.

ii) if a = 0 or b = 0, then the differential equation is already in separable form.

Problem 1 :

Solve

Solution :

Problem 2 :

Solution :

Problem 3 :

Solution :

Problem 4 :

Solve

Solution :

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