PROBLEM 2. Find the general solution and the largest interval over which the general solution is defined, for each differential equation below, where x represents the independent variable. a) 3dy = sin(x) (y² – y)dx dy b) (x + 4)+ (x + 5)y = 5xe-2x dx

Q: Verify that the indicated family of functions is a solution of the given differential equation.…

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Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.