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The differential equation (dy)/(dx)+P y=...

The differential equation `(dy)/(dx)+P y=Q y^n ,\ n >2` can be reduced to linear form by substituting a. `z=y^(n-1)` b. `z=y^n` c. `z=y^(n+1)` d. `z=y^(1-n)`

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To solve the problem of reducing the differential equation \(\frac{dy}{dx} + Py = Qy^n\) (where \(n > 2\)) to a linear form, we will follow these steps: ### Step 1: Rewrite the Equation Start with the given differential equation: \[ \frac{dy}{dx} + Py = Qy^n \] To make it easier to manipulate, we can divide the entire equation by \(y^n\): ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. The solution of the differential equation (1+x^2)(dy)/(dx)+1+y^2=0, is...

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  2. The solution of the differential equation (dy)/(dx)=(x^2+x y+y^2)/(x^2...

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  3. The differential equation (dy)/(dx)+P y=Q y^n ,\ n >2 can be reduced t...

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  4. If p \ "and" \ q are the order and degree of the differential equation...

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  5. find the solution of the following differential equation x logx (dy)/...

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  6. Solve: dy / dx + y secx = tanx

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  7. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

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  8. The degree of the differential equation ((d^2y)/(dx^2))^3+((dy)/(dx...

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  9. The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=...

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  10. The number of arbitrary constants in the particular solution of a d...

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  11. Which of the following differential equations has y=c1e^x+c2e^(-x) ...

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  12. Which of the following differential equations has y = x as one of i...

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  13. The general solution of the differential equation (dy)/(dx)=e^(x+y)...

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

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  15. Which of the following is a homogeneous differential equation? (A) ...

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  16. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x...

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  17. The Integrating Factor of the differential equation (1-y^2)(dx)/(dy)...

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  18. The general solution of the differential equation (y dx-x dy)/y=0 i...

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  19. The general solution of a differential equation of the type (dx)/(d...

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  20. The general solution of the differential equation e^x" "dy" "+" "(y...

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