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Differential Equations

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  1. 451.Let y=y(x) be the solution of the differential equation (x^2-3y^2)dx+3xy~dy=0,y(1)=1.
  2. 452.Let y = y(x) be the solution of the differential equation [x^3dy + (xy - 1)dx = 0,x > 0,y(…
  3. 453.Let y=y(t) be a solution of the differential equation [dy dt + y = e^ - t] where, [ > 0, >…
  4. 454.Let y = y(x) be the solution curve of the differential equation [dy dx = y x( 1 + xy^2(1 +…
  5. 455.Let y=y(x) be the solution of the differential equation [x _exdy dx + y = x^2 _ex,(x > 1)]…
  6. 456.Let y=f(x) be the solution of the differential equation y(x+1)dx-x^2dy=0,y(1)=e.
  7. 457.The solution of the differential equation (d y)/(d x)=-((x^2+3 y^2)/(3 x^2+y^2)), y(1)=0 i…
  8. 458.Let the solution curve y=y(x) of the differential equation [ d y~d x-3 x^5 ^-1(x^3)(1+x^6)…
  9. 459.Let y=y(x) be the solution of the differential equation (3 y^2-5 x^2) y ~d x+2 x(x^2-y^2) …
  10. 460.Let a differentiable function f satisfy [f(x)+_3^x (f(t))/(t) d t=x+1, x 3].
  11. 461.If the solution curve f(x, y)=0 of the differential equation [(1+ _e x) (d x)/(d y)-x _e x…
  12. 462.Let y=y(x) be the solution of the differential equation d y~d x=2 x(x+y)^3-x(x+y)-1, y(0)=…
  13. 463.If y=y(x) is the solution curve of the differential equation [(x^2-4) d y-(y^2-3 y) d x=0,…
  14. 464.Let x=x(t) and y=y(t) be solutions of the differential equations d xdt+a x=0 and d ydt+by=…
  15. 465.If [ ((y)/(x))= _e|x|+()/(2)] is the solution of the differential equation [x ((y)/(x)) (d…
  16. 466.A function y=f(x) satisfies [f(x) 2 x+ x-(1+ ^2 x) f^(x)=0] with condition f(0)=0.
  17. 467.Let y=y(x) be the solution of the differential equation [ x ~d y+2(1-x) x+x(2-x) d x=0] su…
  18. 468.Let y=y(x) be the solution of the differential equation [(d y)/(d x)=(( x)+y)/( x( x- x x)…
  19. 469.The solution curve of the differential equation [y (d x)/(d y)=x( _e x- _e y+1), x>0, y>0]…
  20. 470.If the solution y=y(x) of the differential equation [(x^4+2 x^3+3 x^2+2 x+2) d y-(2 x^2+2 …
  21. 471.If y=y(x) is the solution of the differential equation [d y~d x+2 y= (2 x), y(0)=(3)/(4)],…
  22. 472.Suppose the solution of the differential equation [(d y)/(d x)=((2+) x- y+2)/( x-2 y-( -4 …
  23. 473.Let y=y(x) be the solution of the differential equation [(2 x _e x) (d y)/(d x)+2 y=(3)/(x…
  24. 474.Let y=y(x) be the solution of the differential equation [(1+x^2) (d y)/(d x)+y=e^ ^-1 x], …
  25. 475.Let y=y(x) be the solution curve of the differential equation [ y d y~d x+2 x y=x^3 y, y(1…
  26. 476.Let f(x) be a positive function such that the area bounded by y=f(x), y=0 from x=0 to x=a>…
  27. 477.Let [_0^x √1-(y^(t))^2 d t=_0^x y(t) d t, 0 x 3, y 0, y(0)=0].
  28. 478.The solution of the differential equation [(x^2+y^2) d x-5 x y ~d y=0, y(1)=0], is :
  29. 479.The solution curve, of the differential equation [2 y d y~d x+3=5 d y~d x], passing throug…
  30. 480.If x=f(y) is the solution of the differential equation (1+y^2)+(x-2 e^ ^-1 y) d y~d x=0, y…
  31. 481.Let x=x(y) be the solution of the differential equation y^2 ~d x+(x-(1)/(y)) d y=0.
  32. 482.Let f: R R be a twice differentiable function such that f(x+y)=f(x) f(y) for all x, y R.
  33. 483.Let a curve y=f(x) pass through the points (0,5) and ( _e 2, k).
  34. 484.Let y=y(x) be the solution of the differential equation (x y-5 x^2 √1+x^2) d x+(1+x^2) d y…
  35. 485.Let for some function y=f(x), _0^x t f(t) d t=x^2 f(x), x>0 and f(2)=3.
  36. 486.If for the solution curve y=f(x) of the differential equation (d y)/(d x)+( x) y=(2+ x)/((…
  37. 487.Let y = y(x) be the solution of the differential equation : x( _e( x))^2 d y+( x-3 y x _e(…
  38. 488.Let y=y(x) be the solution of the differential equation (d y)/(d x)+3( ^2 x) y+3 y= ^2 x, …
  39. 489.Let g be a differentiable function such that _0^x g(t) d t=x-_0^x tg(t) d t, x 0 and let y…
  40. 490.Let y=y(x) be the solution curve of the differential equation x(x^2+e^x) d y+(e^x(x-2) y-x…