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solve the separable differential equation 5x−6yx2 1−−−−−√dydx=0. subject to the initial condition: y(0)=10?

User Mspoerr
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Final answer:

The question asks for solving a separable differential equation with an initial condition. However, the actual equation is not provided. The solution typically involves separating variables, integrating, and applying the initial condition to find the specific solution.

Step-by-step explanation:

The provided equation in the question seems to be incomplete or contains typos, making it difficult to solve as is. To solve a separable differential equation, one would typically rearrange the equation to isolate variables on separate sides and then integrate both sides. For example, if the differential equation was of the form dy/dx = g(y)h(x), one would write dy/g(y) = h(x)dx and then integrate both sides. The initial condition y(0) = 10 would be used after finding the general solution to solve for the constant of integration.

Since the correct equation isn't provided, I cannot confidently solve it. However, the process would involve separating variables and integrating, and finally applying the initial condition to find the particular solution.

User Dan Tuffery
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