Find the solution of the differential equation that satisfies the initial condition y(0) = 1. dy/dx = 6x^5y
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To solve this differential equation, we can use the method of separation of variables. Separating the variables, we get: dy/y = 6x dx/S Integrating both sides, we get: ln|y| = 3x^2 + C where C is the constant of integration. Exponentiating both sides, we Show more…
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