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Consider the differential equation dy dt = −t y (a) Using the Separation of Variables method, find the general solution for this differential equation. (b) Given the initial condition y(0) = 4, find the particular solution for this differential equation. (c) With this particular solution, determine the exact value of y(1).

Consider the differential equation dy dt = −t y (a) Using the Separation of Variables method, find the general solution for this differential equation. (b) Given the initial condition y(0) = 4, find the particular solution for this differential equation. (c) With this particular solution, determine the exact value of y(1).

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Consider the differential equation
d y d t = − t y
(a) Using the Separation of Variables method, find the general solution for this differential equation. (b) Given the initial condition y ( 0 ) = 4 , find the particular solution for this differential equation. (c) With this particular solution, determine the exact value of y ( 1 ) .

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