Help on solving differential equations...

I am doing a project on projectiles in sport and have set up the following differential equations when investigating the projectile of a golf ball with air resistance:

mx'' = -kx' and my'' = -mg -ky'

with initial conditions:
x(0)=0
x'(0)=u0=ucos(alpha)
y(0)=0
y'(0)=vo=usin(alpha)

Could someone help me solve these differential equations and show me the method in which it is done. I am really not sure how to do them.

Thanks

has well known solutions of



Now, find x'(t) and use your initial conditions to find

Sorry can you explain that please. Not sure what you mean. Could you go through solving each equation step by step if possible please, i have attempted them and must have gone wrong at one of the early steps...

Thanks

Quote:

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Originally Posted by galactus

has well known solutions of



Now, find x'(t) and use your initial conditions to find

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Big G, you've misread the right hand side of the DE. It's x', not x.