Which of the following is a homogeneous

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Which of the following is a homogeneous differential equation-

Options:

y³dx + ( x²-xy² -y²)dy = 0.

y²dx + ( x²-xy³ -y²)dy = 0.

y²dx + ( x²-x²y² -y²)dy = 0.

y²dx + ( x²-xy -y²)dy = 0.

Correct Answer:

y²dx + ( x²-xy -y²)dy = 0.

Explanation:

It can easily seen in the differential equation y²dx + ( x²-xy -y²)dy = 0.

the degree of each term is same so given differential equation is homogeneous differential equation.