Find the general solution to the differential equation First, put the problem into standard form. Then find the integrating factor: r(x) = help (formulas) Now, find the general solution: y(x) = help (formulas) Note: Use C' as the unknown constant. Book: Section 1.4 of Notes on Diffy Qs dy x²+5xy+x = dx 0

Q: Find the differential of the function. y = e³x dy = =

A: We have given function  y=e3x dydx=ddxe3x dydx=e3x·ddx3x dydx=e3x·3 dydx=3e3x dy=3e3x dx

Q: This is a practice question from my Differential Equations course: Show directly that the given…

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A: Solution of this question is

Q: Solve the equation difFerential Ci+ x) y' + y = Jx %3D

A: Given differential equation is,

Q: can you give an example in real life, where differential equations are applied?

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Q: Solve y" + (y')² = 0.

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Q: (xy² + bx²y) + (x + y)x²y = 0 Find a value of “b” for which this differential equation is exact.…

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Q: solve the differenctil equation by undtermeind coefficients y'' +2y = -18x2e2x   y(x) = ?

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Q: (x²+y)dx + dy 0

A: This linear differential equation

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Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

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Q: Solve the exact differential equation (x* + y)dx +(3xy +1)dy = 0

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Q: Solve the differential equation: f"(x) =x', f(0) = 3, f'(0)=6

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Q: Why do we study Differentials of Equations?

A: When we talk about differentials of equations, we're often referring to how small changes in…

Q: Consider a differential equaUion -x2 y' = xy + xe

A: we have been given a differential equation with initial condition y(0)=0 y'=xy+xe-x2