5. Consider the differential equation xy^5/2 +1+x^2y^3/2dy/dx =0 (a) Show that this differential equation is not...

5. Consider the differential equation

xy^5/2 +1+x^2y^3/2dy/dx =0

(a) Show that this differential equation is not exact.
(b) Find a value for the constant a such that, when you multiply the d.e. through by xa, it becomes exact. Show your working. Do NOT solve the resulting differential equation.

6. Consider the differential equation

(D − 3)(D − 4)y = 0.

(a) Solve this d.e., showing brief working.
(b) How many solutions does this d.e. have? Justify your answer.
(c) How many independent solutions does this d.e. have? Provide a calculation to justify your answer.

Expert Solution

milcah answered 1 year ago

Find the solution of the following differential equations (x(x-1))dy-(xy+2x3-x2-2y)dx=0

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