Consider the differential equation curve if it passes through (1,-1). dy 2y dx x = 0. Find the equation of the solution

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Solve the First Order Differential Equation using appropriate method. Show complete and detailed solution WITHOUT SHORTCUT. Indicate all variables being used. dy - (x-y+1)2dx = 0

Find the second differential of the function y=x2cos2x.

Solve the following differential equation: (y^2cosx-3x^2y-2x)dx+(2ysinx-x^3+Iny)dy=0

Use variation of parameters to solve the given differential equation y" + y = tan:

Please solve differential equation A - By = dy/dx A and B are constant.