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GATE ES 2026 | Question: 26

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A first-order ordinary differential equation is given as follows:

$$\dfrac{d y}{d x}+x^{2} y=0$$

Which ONE of the following options CORRECTLY represents the characteristics of this equation?

  1. Linear, homogeneous, and exact
  2. Nonlinear, nonhomogeneous, and exact
  3. Linear, homogeneous, and non-exact
  4. Nonlinear, nonhomogeneous, and non-exact

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