PLEASE SHOW COMPLETE STEP-BY-STEP SOLUTION. Solve this First Order Linear DE dx/dt + (3/50+2t)x = 10

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A: Explained below

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Q: Determine the solution to this DE: * dy t 3y 2 2 dx

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A: The solution are next step

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Q: Use an appropriate " Bernoulli substitution" to solve: dy + XY 4X s Y(O) =2. %3D dx ya

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A: Derivative

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Q: what is the general equation to the equation dy dx 2 2 dx²

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Q: For which value of a the equation dz dy dx =2 -1 does hold?

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Q: ( 3х — у +1) dx- (9х- Зу — 3) dy %3D 0

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Q: Solve each of the equations. Integrating Factors Зу 3x?y + dx + (2.x + 6 In x) dy = 0 %3D

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y…

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Q: Find the general solution, using separation of variables: dy dx

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Q: (х5 + Зу) dx — х dy 3D 0

A: Given :                          x5+3ydx - x dy = 0Divide both sides by1x dx   1x dx x5+3ydx - x dy…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.