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Find general solution of differential equation

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Differential equations

dy/dx = ex + cos2x + 2x3. Then we know, the general solution is: y = ex + sin2x/2 + x4/2 + C. Now, x = 0, y = 5 substituting this value in the general solution we get, 5 = e0 + sin (0)/2 + (0)4/2 + C.

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Solving Differential Equations with Integrating Factors

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