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For Problems 20–22, determine whether the given function is an
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EBK DIFFERENTIAL EQUATIONS AND LINEAR A
- Solve the following first order linear differential :equation Y + 3y – (7x + 1) = 0, y(0) = 2 -arrow_forwardNewton's law of cooling states that for a cooling substance with initial temperature To, the temperature T(t) after t minutes can be modeled by the equation T(t) =T, + (To – T)e-kt, where T, is the surrounding temperature and k is the substance's cooling rate. A liquid substance is heated to 80°C. Upon being removed from the heat, it cools to 60°C in 12 min. What is the substance's cooling rate when the surrounding air temperature is 50° C? Round the answer to four decimal places. O 0.0687 O 0.0732 O 0.0813 O 0.0916arrow_forwardEvaluate the differential equations:arrow_forward
- In 2 I = t-2 e(-1/t) dtarrow_forwardSolve the following differential equation: (3y–7x+7)dx+(7y-3x+3)dy=0arrow_forwardGiven the function y = x3 + x² + x + 10, suppose x increases from 1 to 1.1. Find the absolute error and percentage error that result if we approximate the resulting change in y using the differential formula.arrow_forward
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