State the order of the given ordinary differential equation. cosh(4/y) - 5ln(18y)y" = 2cos(5yx) - y¹²y¹ + 4x (type your answer as a number in the space provided below)

Q: B3. Find the equation of the curve whose differential equation is (xcos?2 – y) dx + xdy = 0 And…

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Q: Solve the differential equation below by undetermined coefficients: y" + 2y' = x + e²x

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Q: Solve the following differential equation Integrating Factor by Inspection: 1. (2y-3x)dx+xdy=0

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Q: Solve the following differential equation: (3x°y+2xy)dx+(x'+x +2y)dy 0

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Q: Q-4. Form the first-order differential equation of y = e(sin y+æ)

A: Our aim is to form the first order differential equation.

Q: а. (4x3 — 6ху^)dx + (4y- 6ху)dy %3D 0 b. 1 -(xdy- ydx)=0 x²+y? с. 1 (v²dx+x²dy)=0 (x2-у?) d. (x+y)dx…

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Q: For each non-homogeneous ODE, find the basis for the corresponding homoge- neous equation. Then,…

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Q: Find the differential equation of the following families of curves: y2(b+x)=x2(3b-x)

A: Given y2(b+x) = x2(3b-x)                 (1) Differentiate equation (1) with respect to x , we get…

Q: Consider the differential equation:=-y. If the general solution is y = cet ,cER, which one of the…

A: We can solve this as follows:

Q: (x+1)dy = (2xe* – xy – 2y)dx

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Q: Solve the following first order differential equation dy/dx = (4x3y)/(3y2-x4)

A: We can solve the given differential equations.

Q: Solve for the solution of homogenous differential equation dy da a²+y? 3ry

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Q: Which of the following differential equations are linear? Determine the order of each equation. y =…

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Q: ne differential en y(3) =

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Q: Q-4. Form the first-order differential equation of y = e(sin y+z)

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Q: Solve the following differential equation Select one: O a. yos=e"(tanx+c) O b. yos=e"(cotx+c) O…

A: Given differential equation is dydx-2xy=x2sec2x. We have to find the general solution of this…

Q: d²y dx2 +y=x²+2

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Q: Solve the differential equation 5y" - 5x2y" -10xy' + 100y = 0 . Then evaluate the Legendre…

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