K kitty08 New member Joined May 26, 2012 Messages 3 Jun 2, 2012 #1 Hi, I need help trying to find a function where the slope is exactly 10% of the height at all points. Any help would be great!!!
Hi, I need help trying to find a function where the slope is exactly 10% of the height at all points. Any help would be great!!!
D daon2 Full Member Joined Aug 17, 2011 Messages 999 Jun 2, 2012 #2 You mean derivative, I'm sure. f'(x)=0.1*f(x)? Well 0 certainly works. What other type of function do you know is proportional to its derivative?
You mean derivative, I'm sure. f'(x)=0.1*f(x)? Well 0 certainly works. What other type of function do you know is proportional to its derivative?
S soroban Elite Member Joined Jan 28, 2005 Messages 5,584 Jun 2, 2012 #3 Hello, kitty08! Find a function where the slope is exactly 10% of the height at all points. Click to expand... We have: .\(\displaystyle \dfrac{dy}{dx} \:=\:\dfrac{1}{10}y\) Solve the differential equation.
Hello, kitty08! Find a function where the slope is exactly 10% of the height at all points. Click to expand... We have: .\(\displaystyle \dfrac{dy}{dx} \:=\:\dfrac{1}{10}y\) Solve the differential equation.
D Deleted member 4993 Guest Jun 2, 2012 #4 If y = ekx then \(\displaystyle \frac{dy}{dx} \ = \ k * e^{kx} \ = \ k * y \)
