Question: What's the correct statement for solving such a set of DEs?


 

sys_ode := diff(lambda[1](t), t) = lambda[2](t)+sin(t), diff(lambda[2](t), t) = lambda[1](t)+cos(t)

diff(lambda[1](t), t) = lambda[2](t)+sin(t), diff(lambda[2](t), t) = lambda[1](t)+cos(t)

(1)

dsolve(sys_ode)

Error, (in dsolve) found wrong extra argument(s): diff(lambda[2](t), t) = lambda[1](t)+cos(t)

 

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When I tried to solve the DEs like this, I got the error like above. I was wondering what the correct commands are. Thanks.

 

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