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Find the transformed form of the Bernoul...

Find the transformed form of the Bernoulli.s equation given by `(dy)/(dx)-y tan x=(sin x cos^(2)x)/(y^(2)).`

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The correct Answer is:
`dz/dx-3ztan xx=3 sin xx cos^(2)xx`,"where" `z=y^(3)`
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ARIHANT PRAKASHAN-DIFFERENTIAL EQUATIONS -TOPIC TEST 2
  1. Check whether the differential equation is homogeneous. x cos "(y/x...

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  2. Check whether the differential equation (4x-5y-7)(dy)/(dx)+5x+4y-7=0...

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  3. Find the solution of differential equation (2x-3y-5)(dy)/(dx)+(3x-2y-...

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  4. Find the solution of the following differential equations: x dy-ydx=sq...

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  5. Solve the differential equation. x(x+y)dy=(x^2+y^2)dx

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  6. Find the solution of the following differential equations: xdy/dx+sqrt...

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  7. Show that the given equation is homogeneous (dy)/(dx)=(1)/(2)(y/x+y...

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  8. Find the solution of the following differential equations: (4x+6y+5)dx...

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  9. If the homogeneous form of the differential equation (dy)/(dx)=(x+y+1...

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  10. Find the integrating factor of differential equation (x^(2)-1)(dy)/...

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  11. Find the integrating factor of differential equation sin x (dy)/(dx)+3...

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  12. Find the solution of (x+tan y)dy=sin 2 y dx.

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  13. Find integrating factor of differential equation (x +2y^(3))(dy)/(dx...

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  14. Solve the following differential equations (x+y+1)(dy)/(dx)=1

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  15. Find the solution of the differential equation (dy)/(dx)+P(x)y=0.

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  16. Solve (dy)/(dx)-3ycot x= sin 2x, when y=2 and x= (pi)/(2)

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  17. Find the solution of the differential equation (dy)/(dx)+(y)/(x-1)=xy...

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  18. Find the transformed form of the Bernoulli.s equation given by (dy)/(...

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  19. Solve x(dy)/(dx)+y=xy^(2).

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  20. Solve x (dy)/(dx)+y=x^(3)y^(6).

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