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Solve the following differential equatio...

Solve the following differential equations: `(1+x^2)(dy)/(dx)-2x y=(x^2+2)(x^2+1)`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the following differential equations: (x+tany)dy=sin2ydx

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  2. Solve the following differential equations: (dy)/(dx)-y= xe^x

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

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  4. The surface are of a balloon being inflated changes at a constant r...

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  5. Solve the following differential equations: (dy)/(dx)+2y=x e^(4x)

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  6. Suppose the growth of a population is proportional the umber presen...

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  7. A population grows at the rate of 8% per year. How long does it tak...

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  8. Verify that y=log(x+sqrt(x^2+a^2))^2 satisfies the differential equa...

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  9. Verify that y=c e^(t a n-1x) is a solution of differential equatio...

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  10. Show that the differential equation of which y=2(x^2-1)+c e^-(x^2) is ...

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  11. Form the differential equation corresponding to y^2-2a y+x^2=a^2 by el...

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  12. Show that y=A x+B/x ,x!=0 is a solution of the differential equation x...

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  13. Form the differential equation having y=(sin^(-1) x)^2 +A cos^(-1) x +...

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  14. Show that y=a e^(2x)+b e^(-x) is a solution of the differential equat...

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

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  16. Show that y=c x+a/c is a solution of the differential equation y=x(dy)...

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  17. Show that y=acos(logx)+bsin(logx) is a solution of the differential eq...

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  18. Solve the following differential equations: (x^2+y^2)(dy)/(dx)=8x^2-3x...

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  19. Solve the following differential equations: (x^2+3x y+y^2)dx-x^2dy=0

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  20. Solve the differential equation: 2x y \ dx+(x^2+2y^2)dy=0

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