questionrEarly access

Differential Equations

Showing 50 of 490 · 490 total
  1. 1.Let y=y(x) be the solution of the differential equation x√1-x^2dy+(y√1-x^2-x ^-1x)dx=0,x (…
  2. 2.Let f:R R be such that f(xy)=f(x)f(y), for all x,y R and f(0) 0.
  3. 3.Let f:[1,) R be a differentiable function defined as f(x)= _x^1f(t)dt+(1-x)( _ex-1)+e.
  4. 4.Let y=y(x) be the solution of the differential equation : (dy)/(dx)+(6x^2+(3x^2+2x^3+4)e^-…
  5. 5.Let y=y(x) be the solution of the differential equation (dy)/(dx)=(1+x+x^2)(1-y+y^2),y(0)=…
  6. 6.Let x = x(y) be the solution of the differential equation 2y^2 (dx)/(dy) - 2xy + x^2 = 0, …
  7. 7.If the curve y = f(x) passes through the point (1, e) and satisfies the differential equat…
  8. 8.Let y=y(x) be the solution curve of the differential equation (1+ x)(dy)/(dx)+(y+1) x=0,y(…
  9. 9.Let y = y(x) be the solution of the differential equation x (dy)/(dx) - y = x^2 x, x (0, )…
  10. 10.Let y=y(x) be the solution of the differential equation [ x (d y)/(d x)- 2 y=x^3(2-x^3) ^2…
  11. 11.Let y=y(x) be the solution of the differential equation x^4dy+(4x^3y+2 x)dx=0,x>0,y(( )/(2…
  12. 12.If y=y(x) satisfies the differential equation 16(x+9x)(4+√9+x) ydy=(1+2 y)dx,x>0 and y(256…
  13. 13.Let the solution curve of the differential equation xdy-ydx=x^2+y^2dx,x>0, y(1)=0, be y=y(…
  14. 14.Let y=y(x) be the solution of the differential equation x(dy)/(dx)-2y=2+3 x, x (-( )/(2),(…
  15. 15.Let y=y(x) be the solution curve of the differential equation (1+x^2)dy+(y- ^-1x)dx=0,y(0)…
  16. 16.Let f(x)=x-1 and g(x)=e^x for x R.
  17. 17.Let y = y(x) be the solution of the differential equation (x^2 + 1)y' - 2xy = (x^4 + 2x^2 …
  18. 18.Let y=y(x) be the solution curve of the differential equation x(x^2+e^x)dy+(e^x(x-2)y-x^3)…
  19. 19.If a curve y=y(x) passes through the point (1,( )/(2)) and satisfies the differential equa…
  20. 20.Let y=y(x) be the solution of the differential equation (dy)/(dx)+3( ^2x)y+3y= ^2x,y(0)=(1…
  21. 21.Let g be a differentiable function such that _x^0g(t)dt=x- _x^0tg(t)dt,x 0 and let y=y(x) …
  22. 22.If for the solution curve y=f(x) of the differential equation (d y)/(d x)+( x) y=(2+ x)/((…
  23. 23.Let y = y(x) be the solution of the differential equation : x( _e( x))^2dy+( x-3y x _e( x)…
  24. 24.Let for some function y=f(x), _x^0tf(t)dt=x^2f(x),x>0 and f(2)=3.
  25. 25.Let y=y(x) be the solution of the differential equation (xy-5x^2√1+x^2)dx+(1+x^2)dy=0,y(0)…
  26. 26.Let x=x(y) be the solution of the differential equation y=(x-y(dx)/(dy)) ((x)/(y)),y>0 and…
  27. 27.Let a curve y=f(x) pass through the points (0,5) and ( _e2,k).
  28. 28.If x=f(y) is the solution of the differential equation (1+y^2)+(x-2e^ ^-1y)(dy)/(dx)=0,y (…
  29. 29.Let x=x(y) be the solution of the differential equation y^2dx+(x-(1)/(y))dy=0.
  30. 30.Let f(x) be a real differentiable function such that f(0)=1 and f(x+y)=f(x)f^'(y)+f^'(x)f(…
  31. 31.Let f:R R be a twice differentiable function such that f(x+y)=f(x)f(y) for all x,y R.
  32. 32.Let _0^x√1-(y^'(t))^2dt= _x^0y(t)dt,0 x 3,y 0,y(0)=0.
  33. 33.The solution of the differential equation (x^2+y^2)dx-5xydy=0,y(1)=0, is :
  34. 34.The solution curve, of the differential equation 2y(dy)/(dx)+3=5(dy)/(dx), passing through…
  35. 35.Let y=y(x) be the solution curve of the differential equation y(dy)/(dx)+2x y=x^3 y,y(1)=0…
  36. 36.Let f(x) be a positive function such that the area bounded by y=f(x), y=0 from x=0 to x=a>…
  37. 37.Let y=y(x) be the solution of the differential equation [(1+y^2) e^ x d x+ ^2 x(1+e^2 x) d…
  38. 38.Suppose the solution of the differential equation (dy)/(dx)=((2+ )x- y+2)/( x-2 y-( -4 )) …
  39. 39.Let y=y(x) be the solution of the differential equation (2x _ex)(dy)/(dx)+2y=(3)/(x) _ex,x…
  40. 40.Let y=y(x) be the solution of the differential equation (1+x^2)(dy)/(dx)+y=e^ ^-1x, y(1)=0…
  41. 41.The differential equation of the family of circles passing through the origin and having c…
  42. 42.If y=y(x) is the solution of the differential equation (dy)/(dx)+2y= (2x),y(0)=(3)/(4), th…
  43. 43.Let y=y(x) be the solution of the differential equation (x^2+4)^2 d y+(2 x^3 y+8 x y-2) d …
  44. 44.Let be a non-zero real number.
  45. 45.Let y=y(x) be the solution of the differential equation (dy)/(dx)=2x(x+y)^3-x(x+y)-1,y(0)=…
  46. 46.The temperature T(t) of a body at time t=0 is 160^ F and it decreases continuously as per …
  47. 47.The solution curve of the differential equation y(dx)/(dy)=x( _ex- _ey+1),x>0,y>0 passing …
  48. 48.Let y=y(x) be the solution of the differential equation xdy+2(1-x) x+x(2-x)dx=0 such that …
  49. 49.If ((y)/(x))= _e|x|+( )/(2) is the solution of the differential equation x ((y)/(x))(dy)/(…
  50. 50.A function y=f(x) satisfies f(x) 2x+ x-(1+ ^2x)f^'(x)=0 with condition f(0)=0.