i really need help maths, first order differiental equations

andyg19888

https://imgur.com/a/0WNX3f4

i couldn't upload the image but the link is above

I've managed to break down this equation to

Di/dt +5454i = 545.45

but i have no idea on how to expression this into a first order differiental equation

Reply 1

tonyiptony

Hmm... I know nothing about electric circuits, but the DE you've typed is a first order ODE already.

EDIT: In fact, it's separable.

(edited 1 year ago)

Reply 2

mqb2766

Agree with tony, that is the first order ode for an RL series circuit and you can solve it using the fact that it is separable or using CF/PI. The numbers look right assuming the inductor is 22 mH (no H in the image) and depending on the different question parts you may want to specify the initial condition.