WebMar 31, 2024 · Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential... WebFind solutions for your homework. Search Search Search done loading. Math; ... Given the equation y′+2xy=6x3 find μ(x)= e^[2ln[x]] (2) Then find an explicit general solution with arbitrary constant C. y= . (3) Then solve the initial value problem with y(1)=2
Finding an explicit solution of a differential equation
WebOct 17, 2024 · Note that in writing a single general solution in this way, we are also allowing \(C\) to equal \(0\). This gives us the singular solution, \(y = -\dfrac{2}{3}\), for the given differential equation. Check that this is indeed a solution of this differential equation! 5. No initial condition is imposed, so we are finished. WebFind the explicit general solution of the given differential equation. dy #14x secy dx The explicit general solution of the differential equation is y- This problem has been solved! … spongebob 5000 years later
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WebQ: Find the general solution of the following differential equation. y" + 7y - 8y = 0 NOTE: Use c, and… A: We have to find the general solution of the differential equation. question_answer WebThe general form is: y = f(x), for a < x < b. ... While explicit solutions can be found in some areas of calculus, it’s rare to find an explicit solution for a system of ordinary differential equations (Shampine et al., 2003). The only possibility for many ODEs is to find an approximate numerical solution (Allaire et al., 2008). WebWe obtain explicit asymptotic formulas for the inflaton field and derived quantities in terms of Jacobi elliptic functions, which have appeared recently in perturbative approaches to inflationary cosmology due to its relation to Hill’s Equation ().In Section 4, we give a general derivation valid for any value of p, where the leading term of the asymptotic formula for … spongebob 5 months later