What is a solution to the differential equation #dy/dt=e^t/(4y)#?

Question

2721 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-16T18:16:03

#y = pm sqrt( 1/2 e^t + C)#

#dy/dt=e^t/(4y)#

we separate it

#4y dy/dt=e^t#

we integrate: #int ( 4y dy/dt=e^t) dt#

#implies int 4y dy =int e^t dt#

#implies 2 y^2 = e^t + C#

#y = pm sqrt( 1/2 e^t + C)#