Question: Consider the first order ODE. Solve the initial value problem. w'=e^-t * w^2 ; w(0)=2 where w is the dependent variable which is a function

Consider the first order ODE. Solve the initial value problem.

w'=e^-t * w^2 ; w(0)=2

where w is the dependent variable which is a function of the independent variable t. Be sure to calculate the interval of existence for the solution and provide the interval with your solution.

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