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 WebFind the explicit general solution of the given differential equation. dy/dx+17xy=0 The explicit general solution of the differential equation is y= This problem has been …
Separable Differential Equations Calculator - Symbolab
WebNov 16, 2024 · Note that it is possible to have either general implicit/explicit solutions and actual implicit/explicit solutions. Example 7 \({y^2} = {t^2} - 3\) is the actual implicit solution to \(y' = \frac{t}{y} ... In this case we were able to find an explicit solution to the differential equation. It should be noted however that it will not always be ... WebOct 29, 2011 · It often happens that we can only be content with an implicit solution (or a parametric solution, which is a somewhat better state of affairs than having just an implicit solution). One famous example is the differential equation that pops up in the brachistochrone problem : loweye fivem
Finding Explicit Solution to Differential Equation - YouTube
WebTo do this, one should learn the theory of the differential equations or use our online calculator with step by step solution. Our online calculator is able to find the general solution of differential equation as well as the particular one. To find particular solution, one needs to input initial conditions to the calculator. WebAn ordinary differential equation (ODE) is a mathematical equation involving a single independent variable and one or more derivatives, while a partial differential … WebIf you like you can go to desmos.com and type in the implicit solution to get a graph of the explicit solution. By trying different values for 𝐶, you'll see that 𝐶 = −1 is the only value that satisfies the initial condition. ... and so this is a general solution to the separable differential equation, and then we can find the particular ... japan knives cleaver