Tuesday

March 3, 2015

March 3, 2015

Posted by **Jamie** on Monday, June 16, 2014 at 9:41pm.

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...

- Calculus -
**Damon**, Monday, June 16, 2014 at 10:03pmdy / 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) ]

**Answer this Question**

**Related Questions**

Math - dz =(−sinx + 2xy^2)dx +(2x^2 y)dy Integrate the differential to ...

calculus-differential equation - Consider the differential equation: (du/dt)=-u^...

Differential Equations - Consider the differential equation: dy/dt=y/t^2 a) Show...

Differential Equations - Consider the differential equation: dy/dt=y/t^2 a) Show...

Differential Equations - Consider the differential equation: dy/dt=y/t^2 a) Show...

Differential Equations - Find the general solution of the differential equation ...

calculus - verify that y=c/x^2 is a general solution of the differential ...

calculus differential equation - Find in implicit form the general solution of ...

calculus differential equation - Find in implicit form the general solution of ...

Calc - Let f be the function that contains the point (-1,8) and satisfies the ...