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Solve the first order differential equation using any acceptable method.
sin(x) dy/dx+(cos(x))y=0, y(7pi/6)=-2
Expert Answer
We have given First Order Differential Equation,
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dy +y cosx = 0 dx Sinx
Now, We are using Variable Separable Method for solving the First Order Linear Differential Equation is as follows:
First, we need to separate the variable with the respective derivatives:
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sinx dy -ycosx dx dy COSX dx sinx у
Now, Integrating both sides o...
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- S cosx f dy dx sinx ny nsinx| n|C C ny In sinx) ysinx C
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