Question
dy/dx = 4ye^(5x)
a) Separate the differential equation, then integrate both sides.
b) Write the general solution as a function y(x).
For the second part, I got y(x)=e^((5e^(5x))/(5)) + C but I don't understand how to separate differential equations and/or integrate both sides...
a) Separate the differential equation, then integrate both sides.
b) Write the general solution as a function y(x).
For the second part, I got y(x)=e^((5e^(5x))/(5)) + C but I don't understand how to separate differential equations and/or integrate both sides...
Answers
Damon
dy / y = 4 e^(5x) dx
ln y = (4/5) e^(5x) + c
e^ln y = y = e^ [(4/5)e^(5x) +c)
y = e^c e^[(4/5)e^(5x) ]
y = C e^[(4/5)e^(5x) ]
ln y = (4/5) e^(5x) + c
e^ln y = y = e^ [(4/5)e^(5x) +c)
y = e^c e^[(4/5)e^(5x) ]
y = C e^[(4/5)e^(5x) ]