Which of the following equations is a linear differential equatio ду at A 4xycos(4t) = 0 +2x dx? dy 2хy- 4sin(x) dx dx? dy + 3ху - 0 B (3x – 2y)dx+(3x+2y)dy=D0

Q: Which of the following is the transformed form of the 2y = x(y')³ – (v')² + 1 differential equation…

A: Given 2y=xy'3-y'2+1

Q: Which of the following is NOT a separable differential equation? A (xy+y) dr= (x2y² + x² + y²+ 1) dy…

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Q: Which of the following is NOT a separable differential equation? dy =xy dr dy - =x- 2y dx B ye2* dr…

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Q: What is the differential equation of the family of parabolas having their vertices at the origin and…

A: The general equation of the parabola that has the focus on the y-axis is defined using the formula…

Q: Which of the following is not a separable differential equation? dy dy С. dx A. dx xy dy D. dx %3D…

A: Proceed as shown below...

Q: Which differential equation corresponds to the slope field shown here? 1.0-// // // 0.5- // // //…

A: From the given slope field we see that slope of every point on the field is non-negative. And slope…

Q: Which of the following equations can be made into a linear differential equation? A (x²y - 3x)dy +…

A: In this problem, we have to identify the equation which can be made into linear differential…

Q: Which one of the following is a first order linear differential equation? a. d²y dy - 8 dx2 dx =D5 3…

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Q: Which of the following is NOT a separable differential equation? dy A =xy2 dr dy B ) ==x- 2y dx ©…

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Q: Which of the following equations is non homogeneous differential equation? O a. (x² – 2y²)dx + 2xydy…

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Q: Write the linear differential equation x?dy – (2xy + x – 1)dx = 0 in standard dy form dx + УР(х) 3D…

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Q: Which of the followings is a nonlinear differential equation? O y" - (cosa) y' = xe + (sin z)2 dy dx…

A: Solution by using definition of nonlinear differential equation :

Q: Which of the following differential equations has two real and equal roots? Felect one: O a. d'y 4y…

A: Here roots of differental equations means roots of auxilary equation  A quadratic equation…

Q: Consider the differential equation 4y' = 3y+ 2x/y Which of the following is the linear form of this…

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Q: Which one is linear differential equation a. d³y dy | dx3 dx O b. d³y dy +7x - 9y = Inx dx dx² dy C.…

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Q: Which differential equation is homogeneous? A х2 dx + [ydx - хydy]3D0 В xdx =2x³dy- ydx © y = 9x² +…

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Q: What is the differential equation of the family of parabolas having their vertices at the origin and…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: What is the particular solution of the linear differential equatio y' = x° – 2xy; when x = 1, y = 1?…

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Q: Which of the following differential equations is a linear? а. y' + ху %3D ху? b. dy + ydx = y²e*dx…

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Q: Which differential equation follows the form A (x) dx +B(y) dy=0? A B dy dx dy - y --2y=0 - 2dx=0…

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Q: Which of the following differential equations is not a linear? ds а. dt dy с. dx S 2t2 + 3xy = y? b.…

A: We know that; the standard form of the linear differential equation. dydx+Py=Q Where; P & Q is…

Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

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Q: Which one of the following differential forms is exact? a. x*ydx – 4xy²dy+2z²xdz O b. ety…

A: The differential in the form Mx, ydx+Nx, ydy is said to be exact if: ∂Mx,y∂y=∂Nx,y∂x In the…

Q: Form the differential equation for the function x +2y = a sin3x - bcos3x а. Зу" - 18у %3D -9х O b.…

A: The second order differential equation for a function can be found by differentiating the function…

Q: Select the differential equation that matches the given slope field. ||| 5| / | 44 / | / 34 || / 2t…

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Q: Which of the following equationss NOT a variable separable differentialequation? dywy+3x=yvà.…

A: Concept Used:- A differential equation which can be written in the form of M(y)dydx=N(x) is variable…

Q: Which one of the following differential equations is NOT linear? .A dy xy² = In(x) dx - .B dy…

A: Option (A) is correct.

Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

A: Recall: Homogeneous Linear Equation with constant coefficients: An equation of the form…

Q: Which of the following differential equation can be solved using separation variables? a. (x-2y)dx +…

A: Topic:- differential equations

Q: which one of the following is a linear differential equations ? dy +y sin z = e8z %3D dx O dy + Iny…

A: A linear differential equation is in the form of dydx+P y=Q, where P & Q are constants or…

Q: Which of the following is/are exact differential equations? a) xexydx+yexydy=0 b) (x+4x3siny)dx +…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

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Q: Which of the following is NOT a separable differential equation? A(x-2y) dr+ (2r +y)dy=0 B xy dr –…

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Q: Which one of the following is the Exact differential equation ? 1 (x2 +3xy)dy + (y³ +a²)dx = 0 3 (x2…

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Q: Which of the following is NOT a separable differential equation? (A) (x- 2y) dx + (2x+ y) dy=0 B) xy…

A: We know that an equation which is dependent and independent variables get sepreted is a separable…

Q: Consider the differential equation 4y' = 3y + 2x/y Which of the following is the linear form of this…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

A: Differential equations are given, we have to find homogeneous linear differential equation with…

Q: Which of the following is NOT a separable differential equation? dy A =xy2 dx dy =x- 2y dx B ye2* dx…

A: As we know that the differential equation of the form f(y)dy=f(x)dx is a separable differential…

Q: Which of the following is the homogeneous differential equation? A. (3x - 5)dx = (4y - 1)dy B. xydx-…

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Q: For which of the following differential equations isoclines are the equation of lines passing…

A: In the equation of the form y'=f(x, y), the isoclines are lines in (x, y) plane obtained by setting…

Q: Which of the following is NOT a separable differential equation? A x²y dy=e" dr (e2"+4) dy=y dr ©…

A: From the given differential equation,we have to the equation that is not separable.

Q: Which of the following differential equationsis not a linear? a. st ds - (2s + t)dt = 0 b. dy + (y…

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Q: Which of the following is a homogeneous linear differential equation? D³(D2 – 4)y = 3x+ 2e¯3x | о у"…

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Q: Which one of the following differential equation is exact? a. 3x² In4ydx + dy = 0 4y 7x In 4ydx + dy…

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Q: Which of the following differential equations is a non-linear differential equation? dy + 2xy = sinx…

A: If P(x) and Q(x) are function of x then differential equation will be linear

Q: How are the constants a, b, and c related if the following differential form is exact? (ay2 + 2czx)…

A: To Determine: how are the constants a,b and c related if the following differential form is exact?…

Q: Which of the following differential equations that involves differentials! ô²y ¸ ô²z ôu? ô²z (х+…

A: Note:- For a function y=gx, In the equation  dy=g'x dx dy denotes differential and g'(x) is…

Q: Which of the following differential equations are separable? : (i)dy/dx=xy, (ii)dy/dx=x+y,…

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