Which of the following functions is the solution of the differential equation dy + 2y = 0 de А. y=-2ex В. y=e2x C. y=e-2x D. y=2ex B.

Q: Determine whether the following equation is a solution to the corresponding differential equation.

A:

Q: Determine whether the equation given is a solution to the corresponding differential equation. y =…

A: Given: y'' +274y' +558y=-110 A second order linear, non-homogeneous ODE has the form of…

Q: 3. (2xy-x+2y- 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A: See answer below.

Q: What is the order of the differential equation x²dy/dx - 2xy"=0?? A 1 B 3 с 2 D 4

A: Order of a differential equation is the highest order derivative present in the equation.

Q: b. 6y²dx – x(2x³ + y)dy = 0 -

A:

Q: xydy – (y² – 3a2) dx = 0

A: As we know that; The expression for the integrating factor of the differential equation Mdx+Ndy=0:…

Q: Which of the following should be the value of a for the differential equation (ye* + y)dx + (e* +…

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Q: Solve for General/Particular Solution for the following differential equations. 2xe2Ydy + (e²y –…

A: First let's check the given D.E. is exact or not.

Q: 2. (6х + у?)dx + У(2ху — Зу?)dy %3 о

A:

Q: d?y %3D = 4(1+3x)² if y = -1, y' 2. Find the particular solution of the differential equation -2…

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Q: d²y dx2 +y=x²+2

A:

Q: Find the general solution of the differential equation y" - 36y=-108t + 72t². NOTE: Use t as the…

A:

Q: Determine whether the given function is a solution of the differential equation. y = √√√x; xy' - y =…

A: Given a differential equation xy'-y=0. To determine whether function y=x is a solution of the…