교과서를 보고 있는데 거기서<br>
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In a nonhomogeneous equation there is at least one term that does not contain the independent variable or any of its derivatives. <br>
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라고 써있었거든요?<br>
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그런데<br>
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d^2x/dt^2 + t (dx/dt) = 4 sin t 가 nonhomogenous ordinary differential equation 이라고 하던데<br>
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t 가 independent variable 이고 4 sin t 에서 t를 포함하고 있는데 왜 저 식이 nonhomogenous 죠?<br>
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첫댓글independent(x)=>dependent(o) ,homogeneous differential equation:If all the terms are proportional to a derivative of dependent variable y(or y itself) and there is no term that contains a function of independent varialbe x alone. (from mathword)
첫댓글 independent(x)=>dependent(o) ,homogeneous differential equation:If all the terms are proportional to a derivative of dependent variable y(or y itself) and there is no term that contains a function of independent varialbe x alone. (from mathword)
oh~jesus!!