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Is P=250+Ce0.2tP = 250 + C e ^ { 0.2 t }

Question 59

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Is P=250+Ce0.2tP = 250 + C e ^ { 0.2 t } a solution to the differential equation dPdt+0.2P=50\frac { d P } { d t } + 0.2 P = 50 (for some constant C)?

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