nurul

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9 years, 224 days

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question: solve the direction field and curve that passes through each of indicated points.use different colours.

2)dy/dx=e^(-0.01xy^2)

(a) y(-6)=0

(b) y(0)=1

(c) y(0)=-4

(d) y(8)=-4

my answer:

> restart;
> with(DEtools);
> with(plots);
> a := diff(y(x), x) = exp(-0.1e-1*x*y(x)^2);
> g := dfieldplot(a, y(x), x = -8 .. 8, y(x) = -8 .. 8, color = exp(-0.1e-1*x*y(x)^2));

> ode := diff(y(x), x) = exp(-0.1e-1*x*y(x)^2);


> ics := y(0) = 1;
> dsolve({ics, ode});
  

it doesn't solve the ics n ode. actually i don't understand at all about dsolve bcoz this relating to exponential.

please do help me.thank you

 

btw before this someone do help me to solve my problem with this..here comes another problem..*sigh... thank you

> with(DEtools);
> with(plots);
> a := diff(y(x), x) = e(x)^(-0.1e-1*xy^2);

> g := dfieldplot(a, y(x), x = -8 .. 8, y(x) = -8 .. 8, color = e(x)^(-0.1e-1*xy^2));
Error, (in DEtools/dfieldplot) extra unknowns found: xy

 

how to solve this?
>
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