a. Show by substitution that the function y(t) = Ce2.5t is a solution of the differential equation y'(t) = 2.5y(t), where C is an arbitrary constant.b. Show by substitution that the function y(t) = 3.2e2.5t satisfies the initial value problem y '(t) = 2.5y(t) Differential equation y (0) = 3.2. Initial condition
a. Show by substitution that the function y(t) = Ce2.5t is a solution of the differential equation y'(t) = 2.5y(t), where C is an arbitrary constant.b. Show by substitution that the function y(t) = 3.2e2.5t satisfies the initial value problem y '(t) = 2.5y(t) Differential equation y (0) = 3.2. Initial condition
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a. Show by substitution that the function y(t) = Ce2.5t is a solution of the differential equation y'(t) = 2.5y(t), where C is an arbitrary constant.
b. Show by substitution that the function y(t) = 3.2e2.5t satisfies the initial value problem
y '(t) = 2.5y(t) Differential equation
y (0) = 3.2. Initial condition
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