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|Solve the given differential equation. 7ydx - 7xdy + x" dx =4dx The solution is (Type an equation.)Find the particular solution to the given differential equation that satisfies the given conditions. x 2 + dy = 5(xdx + ydy); x= 1 when y =0 The particular solution is (Type an equation.)Use Euler's method to find y-values of the solution for the given values of x and Ax, if the curve of the solution passes through the given point. Check the results against known values by solving the differential equation exactly. dx - = 2x - 7; x= 0 to x= 1; Ax = 0.2; (0,8) Using Euler's method, complete the following table. 0.0 |0.2 10.4 0.6 10.8 |1.0 y 8.00 (Round to two decimal places as needed.)