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(Solved): 2[20 pts] Using Euler's method to solve the second order differential equation over the range \( x ...
![2[20 pts] Using Eulers method to solve the second order differential equation over the range \( x=1 \) to 3 using a step siz](https://media.cheggcdn.com/media/b83/b832635e-333a-458c-819f-a2d4aacb4e01/phpA6sZbE)
2[20 pts] Using Euler's method to solve the second order differential equation over the range \( x=1 \) to 3 using a step size of 1 with \( y(1)=3 \) and \( y^{\prime}(1)=7 \) \[ 3 x y^{\prime \prime}-0.5 x \frac{y^{\prime}}{x^{2}}+\ln (x y)=5 x \]
Expert Answer
Given, Differential Equation in y'' = f(x, y, y') form is y''=0.5y'3x2?ln(xy)3x+53 y(1)=3,y'(1)=7 y''(1)=0.5?73?11?ln(1?3)3?1+53=2.467