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CD ROM Paradise Collection 4
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CD ROM Paradise Collection 4 1995 Nov.iso
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sm32a.zip
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DSOLVE.SM
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1993-11-12
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670b
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23 lines
# This is demo of solving differential equations by dsolve() or inte()
#output:=basic
expand:=on
dsolve(y'(x) = sin(x), y(x),x)
dsolve(y'(x) = x/(2+y(x)), y(x),x)
dsolve(y'(x) = x*exp(y(x)), y(x),x)
dsolve(y'(x) = y(x)^2+5*y(x)+6, y(x),x)
dsolve(y'(x) = y(x)/x, y(x),x)
dsolve(y'(x) = x*y(x)+1, y(x),x)
dsolve(y'(x) = x + y(x), y(x),x)
# example 11
inte(y'(x)*(1+1/y(x)) = -1, x) # solve eq by inte()
dsolve(y'(x) = -y(x)/(y(x)+1), y(x),x) # solve eq by dsolve()
# example 12
dsolve(y'(x) = sqrt(y(x)), y(x),x)
#y'(x) = sqrt(y(x))
#last/sqrt(y(x)) # move sqrt(y(x)) to right side of =
#inte(last,x) # solve y'(x)/sqrt(y(x))=1 by inte()