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Dotermine whether the given furction is a solition to the given daterentid equation. [ theta=e^{3 t}-5 e^{4 t}, frac{d^{2} theta}{d t^{2}}-theta^{d t}+20=-31 e^{4

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Dotermine whether the given furction is a solition to the given daterentid equation. \ [ \theta=e^{3 t}-5 e^{4 t}, \frac{d^{2} \theta}{d t^{2}}-\theta^{d t}+20=-31 e^{4 t} \] d 0 dt the two sides of the diflerential equation equvalert on any ertevale of

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