Which of the following is NOT a separable differential equation? A (xy+y) dr= (x2y² + x² + y²+ 1) dy B xy3 dr+ (y+ 1)e-* dy=0 © yln(x) In(y) dx + dy =0 Dxy dr- (x+ 2y)²dy=0

Q: Determine the general solution of the following differential equation: (D²-2D+1)y = 35x(3/2) ex O A.…

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Q: Which of the following functions are solutions of the differential equation y" - 2y' - 8y = 0? A.…

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Q: Find the general solution of the differential equation: d²y + 36y = 0. dx? y = C1 sin 6x +C2 cos 6x…

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Q: Consider a first-order linear differential equation y' + P(x)y = Q(x), where P(x) and Q(x) are…

A: We have to find explicit solution of First order linear differential equation:

Q: Is (1+ex/y)dx + ex/y(1-x/y)dy = 0, a exact differential equation? If yes then, find the value of y.

A: Exact differential equation- A differential equation of the type Mdx+Ndy=0 is said to be exact if,…

Q: State the order of the given ordinary differential equation. cosh(3/y) - 16ln(10y)y" = 9cos(5yx) -…

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Q: (x² + b²)dy = 2x[(x² + b?)² + 3y]dx; y(b) = 4b*;

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Q: Let the differential equation be: y" – 6y' + 9y = e3, where the complementary function is: Yc =…

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Q: The differential equation of y = 5bx2 + c after elimination of the arbitrary constant b, c is O y =…

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Q: Solve the differential equation (d2y/dx2) - 7dy/dt = 0 if y(0) = 1, and dy(0)/dt = 1 A.…

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Q: Find the general solution of the first order differential equation 2xy(dy/dx)=x2-y2

A: The given differential equation is a homogeneous. See attached file for a step by step explanation.

Q: Which of the following functions are solutions of the differential equation y" — 5y' + 4y = 0? - A.…

A: If the roots of the auxilary equations are real and distinct i.e. a and b then solutions of…

Q: consider the differential equation dy/dx=sin(x)/y for which the solution is y=f(x). Let f(0) = 1…

A: Given dydx=sinxy, y0=1. By variables separation,  y dy=sinx dx Integrating on both sides,

Q: The differential equation y' = √2x−y +1 +2 has the solution 3

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Q: The solution of the non-exact differential equation 2ydx + (3y-2x)dy = 0 is (2x/y)+3lny=Dc O…

A: Given  2ydx + (3y - 2x)dy = 0

Q: © (y?(x+1) +y) dx (2xyer) dy=o 2, diferansigel denklemd'i

A: Given differential equation is y2x+1+ydx+2xy+1dy=0

Q: If 2x3+3ycos(xy)+(cx2y2+3xcos(xy))y'=0 is the exact differential equation then c =?

A: The exact differential equation is defined as the differential equation of the form Mx,ydx+Nx,ydy=0,…

Q: Which of the following is a linear differential equation? O sin(x)y' + cos(y) = 3x O y - 2y = In(x)…

A: Given that, There are 4 Differential equations , and we cave to find the Linear Differential…

Q: Consider the differential equation: y" – 6y' + 9y = (x + 1)e3* Determine the function „, for the…

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Q: Write the given differential equation in the form L(y) = g(x), where L is y" - 4y' - 21y = x - 4…

A: given differential equation y''-4y'-21y=x-4 we have to write as linear differential operator form

Q: Match the differential equation dy / dx = sin 2x with its slope field.

A: Match the differential equation dy / dx = sin 2x with its slope field.

Q: (1) (#)* + #+ 2 += =² + y? = 0 (ii) ey" +ry = 2y (iv) In(y") + 2y - y = 0 %3D

A: As per given by the question, There are given four type of the equation and which of these are…

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Consider the substitution 1 u(x) y(x)* What is ? Use the substitution to obtain a 1st-order linear…

A: Explanation of the answer is as follows

Q: Put the differential equation p(t) = g(t) = ty' (t² + 5)y = cos(t) + e3t into the form y' + p(t)y =…

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