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Show that the given differential equati...

Show that the given differential equation is homogeneous and solve each of them.`x^2(dy)/(dx)=x^2-2y^2+x y`

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To solve the differential equation \( x^2 \frac{dy}{dx} = x^2 - 2y^2 + xy \), we will first show that it is homogeneous and then find its solution. ### Step 1: Show that the differential equation is homogeneous A function \( f(x, y) \) is homogeneous of degree \( n \) if \( f(\lambda x, \lambda y) = \lambda^n f(x, y) \) for any \( \lambda \). Let's rewrite the equation: \[ ...
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NCERT ENGLISH-DIFFERENTIAL EQUATIONS-EXERCISE 9.5
  1. Show that the given differential equation is homogeneous and solve ea...

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  2. Show that the given differential equation is homogeneous and solve ea...

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  3. Show that the given differential equation is homogeneous and solve ea...

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  4. Show that the given differential equation is homogeneous and solve ea...

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  5. Show that the given differential equation is homogeneous and solve ea...

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  6. Show that the given differential equation is homogeneous and solve eac...

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  7. Show that the given differential equation is homogeneous and solve ea...

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  8. Show that the given differential equation is homogeneous and solve ...

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  9. Show that the given differential equation is homogeneous and solve it...

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  10. A homogeneous differential equation of the from (dx)/(dy)=h(x/y)can ...

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  11. Which of the following is a homogeneous differential equation? (...

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  12. For the differential equation , find the particular solution satisfyi...

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  13. For the given differential equation , find the particular solution sa...

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  14. For the given differential equation , find the particular solution sat...

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  15. The differential equations , find the particular solution satisfying ...

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  16. Show that the given differential equation is homogeneous and solve ea...

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  17. The differential equations , find the particular solution satisfying t...

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