Question

A differential equation of the form y = px + f(p) is called
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Answer 1

Answer:

Step-by-step explanation:

Answer 2

A differential equation of the form y=px+f(p) is called Clairaut's equation.

• When the value of a function is the same as the variable i.e. f(p)=p then Clairaut's equation will be, y=px+f(p). Here, f is continuously differentiable.
• In this equation, we can find the solution theme m, of y=Cx+f(p).
• It has only a single solution and its graph is represented by the envelope of the graph of single solutions. This singular solution can be represented by the parametric notation, (x(p), y(p)), here, p=dy/dx.

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