Question: How do I use diff in seq?

I want to construct a sequence of diffenrential equations with

seq(diff(f[i],x)=k[i]*f[i],i=1..4);

but I get

0 = k[1]*f[1], 0 = k[2]*f[2], 0 = k[3]*f[3], 0 = k[4]*f[4] 

Is there anyone can tell me what I have done wrong? Thanks a ton!! 

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