Question #17051
find solution of separable ODE
3e^xtanydx+(1-e^x)sec^ydy=0
3e^xtanydx+(1-e^x)sec^ydy=0
Expert's answer
we can rewrite it as
3e^xtanydx=(e^x-1)sec^ydy
3*e^x/(e^x-1)
dx=sec(y)/tan(y) dy
integrate and we get
3
log(1-e^x)+c=ln(tan(y))
y=arctan( c1*(1-e^x)^3)
3e^xtanydx=(e^x-1)sec^ydy
3*e^x/(e^x-1)
dx=sec(y)/tan(y) dy
integrate and we get
3
log(1-e^x)+c=ln(tan(y))
y=arctan( c1*(1-e^x)^3)
Learn more about our help with Assignments: Differential Equations
