My work so far:
dy/dx = 50yx^14
ln(y) = 10yx^15+C
y(0)=6
y=10(6)x^15+C
Help?
Find an equation of the curve that satisfies dy/dx=150yx^14 and whose y-intercept is 6.
2 answers
dy/dx=150yx^14
divide both sides by y
(dy/dx) / y = 150x^14
ln(y) = 10 x^15 + c
but (0,6) lies on it, so
ln 6 = 10(0) + c
c = ln 6
ln y = 10x^15 + ln 6
is one such equation
divide both sides by y
(dy/dx) / y = 150x^14
ln(y) = 10 x^15 + c
but (0,6) lies on it, so
ln 6 = 10(0) + c
c = ln 6
ln y = 10x^15 + ln 6
is one such equation