Calculus

posted by .

Sketch the solution curves for y'=xy

How do I sketch this??? Where do I start?

  • Calculus -

    You can separate the variables and integrate.
    dy/dx = xy
    dy/y = xdx
    Integrate to get
    log(y)+c = x²/2 (C=constant)
    elog(y)+c = ex^2/2
    ecy = ex^2/2
    y = kex^2/2 where k=e-c
    Now you can plot a family of curves for the solution y=f(x).

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Sketch the solution curves for y'=xy How do I sketch this?
  2. Shelly

    I really don't get pH curves. I have to sketch a pH curve for the titration of 40.00 mL of 0.100 M hydrazine, H2NNH2(aq) having a Kb of 3.0x10^-6 by 0.100M HCIO4(aq). I know you can't sketch on here. But can you help me find the first …
  3. Chemistry 12

    I really don't get pH curves. I have to sketch a pH curve for the titration of 40.00 mL of 0.100 M hydrazine, H2NNH2(aq) having a Kb of 3.0x10^-6 by 0.100M HCIO4(aq). I know you can't sketch on here. But can you help me find the first …
  4. Chemistry

    I really don't get pH curves. I have to sketch a pH curve for the titration of 40.00 mL of 0.100 M hydrazine, H2NNH2(aq) having a Kb of 3.0x10^-6 by 0.100M HCIO4(aq). I know you can't sketch on here. But can you help me find the first …
  5. MATH -CALCULUS

    SKETCH THE REGION ENCLOSED BY THE GIVEN CURVES: Y=|10X|, Y=X^2-11
  6. Calculus (Area Between Curves)

    Find the area of the region bounded by the curves y^2=x, y-4=x, y=-2 and y=1 (Hint: You'll definitely have to sketch this one on paper first.) You get: a.) 27/2 b.) 22/3 c.) 33/2 d.) 34/3 e.) 14
  7. CALCULUS

    Sketch the region enclosed by the given curves. y = 4/X y = 16x, y = 1X/16 x > 0 and the area between the curves
  8. CALCULUS

    Sketch the region enclosed by the given curves. y = tan 3x, y = 2 sin 3x, −π/9 ≤ x ≤ π/9 then then find the area. i can sketch but cant find correct area
  9. Calculus

    a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ?
  10. Calculus

    Sketch the regions bounded by the following curves and find their area: y=2x^2 y=-x^3+3x

More Similar Questions