For the differential equation y' + 8y + 16y = sin(7x)

Q: dy + у 1-y %3D ху dx

A: Here I am attaching image so that you understand each and every step.

Q: solve the differential equation using integrating factor. ((y(e^xy))+sin(x)) + (dy/dx)(e^xy)x = 0

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Q: Solve differential equation dy -(x²+y) x+siny

A: We have given a differential equation , dydx = -x2 + yx + siny This is exact differential equation.…

Q: Determine the order of the differential equation. y' + y = 7y2

A: We have to Determine the order of the differential equation.

Q: solve the differential equation x2yy'=(y2-1)3/2

A: To solve the given differential equation :-

Q: Explain how to solve a separable differential equation of the form g(y) y'(t) = h(t).

A: A separable differential equation is one in which the terms of two variables in the term can be…

Q: solve the differential equation (step by step) x2yy'=(y2-1)3/2

A: The given problem is to solve the given differential equation. Given differential equation…

Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²

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Q: Solve the differential equation using the Green's y" + 16y=-xsin 4x, y')=0, y()=0 function.

A: using Green's Function to Solve the Differential Equation:Given the differential equation: y''(x) +…

Q: y' = 2 x² + y² sin x

A: To solve the differential equation y' = (x^2 + y^2)/sin(x), we can use the method of separable…

Q: The particular solution when x y' = (x² +1)/(2-y) is: -3 and y = 4 of the differential equation

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Q: Let us consider the differential equation xy' = 7y. Is it true that function y = ex" a solution to…

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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