Is the given equation homogeneous or non-homogeneous

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Reference no: EM131006930

Consider the differential equation:

dy/dx = -12y(1 + t)².

Answer the following questions:

a. Is this equation linear or non-linear?

b. Is the equation homogeneous or non-homogeneous?

c. Is the equation separable or non-separable?

d. Which order the equation is?

Find then the solution subject to the initial condition y(0) = 2/e⁴.

Reference no: EM131006930

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