What is the MATLAB code to solve this system of equations through ODE15S?

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We have two dependent variables y1 and y2 and one independent variable. The system is like this.
(dy1/dx)^2 - y1*(dy1/dx) + x*(dy2/dx) = 0 ......(1)
(dy2/dx)^2 + x*(dy2/dx)*(dy1/dx) + y2*(dy1/dx)^2=0 .....(2)
Initial condition y1(0)=1 and y2(0)=0 with x=0:0.1:0.9. Please provide me the MATLAB code through 'ode15s' to solve the mentioned equation. Kindly help.

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