Solve each of the following equations by finding an integrating factor: x dy + y dx...

Solve each of the following equations by finding an integrating factor:

x dy + y dx + 3x^3y^4 dy = 0

Expert Solution

Colby Messinger answered 1 year ago

subject:engineering mathematics solve [cos(x+y)-sin(x+y)]dx-sin(x+y)dy=0,is the ODE exact?Find an integrating factor and solve the ODE.

Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln...

Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln x +y/x)dx = (1-lnx)dy Solve (y^2+yx)dx - x^2dy =0 Solve (x^2+2y^2)dx = xydy Solve Bernoulli's Equation x dy/dx + 2y = (x^4)(e^x)(y^2) Solve Bernoulli's Equation (1+x^2) dy/dx = 2xy +(e^x)(y^2) Solve IVP (3e^(x^2))dy + (xy^2)dx=0 ; y(1) = 2 Solve IVP dy/dx -2xy = e^(x^2) ; y(0)=0 Solve IVP (x^2+y^2)dx+(2xy)dy=0; y(1)=1 6. Mixture Problem Initially 40 lb of salt is dissolved in a large...

Solve the following DEs 1.) dy/dx + y =e^3x 2.) x^2y' +xy = 1 3,) x(dy/dx)-y...

Solve the following DEs 1.) dy/dx + y =e^3x 2.) x^2y' +xy = 1 3,) x(dy/dx)-y = x^2 sin(x) 4.) y' - 2y = e^2x, y(0) = 2 5.) cos(x)(dy/dx) + ysin(x) = 1, y(pi/4) = 0

dy/dx + y/x \ x3y2

Solve IVP for y(x): dy/dx + (3/x)y = 8y^4, y(1) = 1

dy/dx+(y/2x)=(x/(y^3))

Show the differential equation is not exact and by finding an appropriate integrating factor solve the...

Show the differential equation is not exact and by finding an appropriate integrating factor solve the given initial problem. (yx+y^2+ y) dx + (x+2y) dy =0

Solve the following initial-value problem: (ye2xy + x)dx − (y2 − xe2xy)dy = 0, y(2) =...

Solve the following initial-value problem: (ye2xy + x)dx − (y2 − xe2xy)dy = 0, y(2) = 0

Solve the initial value problem dy/dx + H(x)y = e5x ; y(0) = 2 where H(x)...

Solve the initial value problem dy/dx + H(x)y = e5x ; y(0) = 2 where H(x) = −1 0 ≤ x ≤ 3 1 3 < x

Initial value problem : Differential equations: dx/dt = x + 2y dy/dt = 2x + y...

Initial value problem : Differential equations: dx/dt = x + 2y dy/dt = 2x + y Initial conditions: x(0) = 0 y(0) = 2 a) Find the solution to this initial value problem (yes, I know, the text says that the solutions are x(t)= e^3t - e^-t and y(x) = e^3t + e^-t and but I want you to derive these solutions yourself using one of the methods we studied in chapter 4) Work this part out on paper to...

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