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Form the differntial equation which is s...

Form the differntial equation which is satisfied by `sqrt(1-x^4)+sqrt(1-y^4)=a(x^2-y^2)`, 'a' being an arbitrary constant.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Find the differntial equation of all circles which pass through the or...

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  2. The differential equation of all conics whose axes coincide with the c...

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  3. Form the differntial equation which is satisfied by sqrt(1-x^4)+sqrt(1...

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  4. Form the differntial equation which is satisfied by x ^p^y^q=lambda(x+...

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  5. The differential equation having y=(sin^(-1)x)^(2)+A(cos^(-1)x)+B, whe...

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  6. Verify that the given function is a solution of the differential equat...

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  7. Verify that the given function is a solution of the differential equat...

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  8. Verify that the given function is a solution of the differential equat...

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  9. Verify that the given function is a solution of the differential equat...

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  10. Verify that the given function is a solution of the differential equat...

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  11. Verify that the given function is a solution of the differential equat...

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  12. Verify that the given function is a solution of the differential equat...

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  13. Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d...

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  14. Prove that x^2 - y^2 = c (x^2 + y^2)^2 is the general solution of dif...

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  15. Show that function y=be^x+ce^(2x) is a solution of the differential eq...

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  16. Show that the diffential equation of which y=2(x^2-1)+Ce^(-x^2) is a s...

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  17. Solve the following differential equations (dy)/( dx) = x^5 + x^2 - ...

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  18. Solve the following differential equations (dy)/( dx) = x^2 + sin 3...

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  19. Solve the following differential equations: (dy)/(dx)+y=1

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  20. Solve the following differential equations (dy)/( dx) = ( x+1)/( 2-y...

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