Which of the following is the integration factor of the differential equation (2xy e+ 2xy3 + y)dx + (x²y*e-x²y2 -3x)dy = 0? %3D a. y b. y c. y-4 d. y-2 e. y?

Q: Tell whether x = C1et + C2 cos 2t + C3 sin 2t is a solution to the differential equation x''' - x''…

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Q: d'y - a'y = 0 %3D the above differential has solution

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Q: Solve using separable differential equations dy X dx y2V1 + x

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Q: d² y - y = e* + 1. Using method of undetermined coefficients, what is the second derivative of y, ?…

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Q: .D dy + x?y = sin(x) dx

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Q: Solve using separable differential equations dy 1 dx y3

A: We have to solve using separating the variables. xdydx=1y3

Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the…

Q: valuate this Differential Equation L di/dt + Ri = E; where L, R and E are constant and when t=0,…

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Q: Use the method of comparing the coefficients to find a particular solution for the differential…

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Q: Find the Wronskian for the differential equation dy dx? dy 3- dx 10y = 0 .A .B 3e 3x .C -3e3x .D…

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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: dy 7. 7. Find the general solution* to the differential equation: V4x-x dx (*i.e. solve for "y"). Be…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Solve this differential equation: dy/dx=y/x+√(1+y/x ) ; when x=1,y=8

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Q: A- Solve the differential equation: x² -x+ 5y = 0 dx2 dx dz and dx dy given B- Find dz z = xy² +…

A: Q5: A)   given differential equation is…

Q: Determine the solution of the differential equation by separating the variable dy ,3x-2y + x²e-2y dx

A: given differential equation dydx=e3x-2y+x2e-2y claim- solve the differential equation by separating…

Q: A student is solving a separable differential equation and gets this far: ly=(x²3)dx What is the…

A: Integration is used to determine the bigger value by adding all the small parts. While…

Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

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Q: Find the Wronskian for the differential equation dy dy 3- - 10y = 0 d.x - - dx? .A -3e30 .B 3e-3x .C…

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Q: The differential equation (xy2 + y)dy = (x + 1)dx is separable. Select one: O True OFalse

A: We have to find

Q: dy +p(x)y = Q(x)y" dx Bernoulli equation .B Exact Equation .C

A: Given that  dy/dx+p(x)y=Q(x)y^n To find the type of equation

Q: ôʻy The order of the differential equation 5x- + 3x + w²y = 0 is ôx 3 dʻy The degree of the…

A: To find order & degree of differential equations.

Q: What is the order of the differential equation? d³y dx3 4 + 6y = 3 dx, 1 O 2 4

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Q: What is the degree of the differential equation (y) ²-xy"=1? A 2 B 1 C 4 D D) 3

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

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Q: d'v V is 6. The auxiliary equation of the differential equation dt?

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Q: An integrating factor for the linear differential equation Y' - 2y = 12x is l=

A: The given differential equation is y'-2y=12x. Clearly, the given DE is a first order linear…

Q: = ze'y = e+z'e= C to denote an arbitrary constant.)

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Q: Solve the differential equation d?y dy + 5x + 4y = xlnx dx2 dx

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.