When a sheet metal is suddenly removed from an oven and exposed to the environment, it cools due to loss due to convection. The rate at which the plate temperature T varies with time is given by: A,...

Please use power series solution. Also the temperature should decrease

Extracted text: When a sheet metal is suddenly removed from an oven and exposed to the environment, it cools due to loss due to convection. The rate at which the plate temperature T varies with time is given by: A, -[ h(T– T„)] pVC, dT %3D dt where As is the surface area of the plate, p = 300 kg / m³ is its mass density, V is its volume, CV= 900 J/ kg / K is your specific heat in the volume condition constant. In addition, h = 30 W / m² / K is the coefficient heat transfer and To is the temperature environment. Given the information above, obtain: a) The algebraic equation that represents the ODE described by the model using a power series. b) The T xt graph using 10 terms of the series, and compare the result with the solution analytical method obtained by the Laplace transform. Data: V = 0,003 m³; As = 0,25 m²; T(0) = 673 K; To = 298 K