The following differential equation is EXACT, EXCEPT: Select the correct response: O (x3-y)dx + (x+5y)dy 0 ysinx dx - cosx dy = 0 O (x+3y)y1 = 0 ALL

Q: Consider the differential equation 3y" +y-2y = 2 cos t Which of the following is the general…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is of the form Y…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is hômogeneous.…

A: A differential equation is a linear combination of dependent variables and their derivative. The…

Q: dy In(1 – x) + dx y = cos x, y(0) = 0 х-1

A: The differential equation is given as ln(1-x)dydx+yx-1=cos x It can be rewritten as…

Q: Find a general solution of the following differential equation: dy X = y + √√√x² - y² X>0 " dx using…

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Q: day dx2 -2 dy x +y = dx +y = 2 cos x

A: We have to find the solution to the given differential equation d2ydx2-2dydx+y=2 cosx, y0=0 and y7=7

Q: Consider the following differential equation, cos(y) + (1+e-*)sin(y) dy dx Show that the general…

A: Given: cosy+1+e-xsinydydx=0 Use the variable separable method to solve the given differential…

Q: dy 7. dx cos(x + y), when x = 0,y =

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 ( 7y - x² )dx + xdy…

A: C=89

Q: Find the value of k so that the given differential equation is exact. + kxy - 2x) dx + (3xy² +…

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Q: Which differential equation follows the form A (x) dx +B(y) dy=0? ysinxdx-2xcosydy=0 B There is no…

A: Check for all the options.

Q: Solve the following homogeneous first order differential equation: 3xy- dx dy = y² +3x2

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Q: a) Solve the following first-order differential equations: dy = -y 2x, given that when y=0, x=+2 dx

A: We have given  -y dy/dx = 2x when y = 0 and x = +-2

Q: Solve the seperable differential equation for. dy 1+ x ;x > 0 xy5 dx Use the following initial…

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Q: The following differential equations appear similar but have verydifferent solutions:dy dx = x,dydx…

A: Given:                    dydx=x Separation of variables                    dy=x dx Integrate both…

Q: Find the differential equation of the following function (x – y + 2)dx + 3dy = 0 a. y = x + 5 + Ce…

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Q: Solve the following autonomous differential equation with the given initial condition. dy = - 0.4y,…

A: The answer and the detailed explanation is given below-

Q: Solve the following differential equation on the interval (0, ∞) (in other words, dy y² = x² + y² dx…

A: Solution of given question is written in below steps.

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: dy - (x- y + 1)'dx = 0

A: The objective of the question is slove the differential equations.

Q: dy 2 +y- 2x + 3 ご

A: We have to find General solution of given differential equation.

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: To solve the below differential equation. dydx=yxy2−1

Q: Solve the seperable differential equation for. dy 1+ x -; x > 0 xy10 da Use the following initial…

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Q: Find the value of k so that the given differential equation is (y3 + kxy - 2x) dx + (3xy² + 12x²y³)…

A: Given differential equation is (y3+kxy4-2x)dx + (3xy2 + 12x2y3)dy = 0

Q: Find the differential equation of the following function (х — у + 2)dx + 3dy —D 0 a. y = x + 5 + Cea…

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Q: Solve the following homogeneous first order differential equation: 3xy =y² +3x2 dy dx

A: Use the substation and solve the given differential equation.

Q: Obtain the particular solution for the following differential equation if y(n) = 1 (3x? + ycosx)dx +…

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Q: Find the general solution of the following differential equation:  dx - ( 1 + 2x tany ) dy = 0

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Q: Solve the seperable differential equation for. dy 1+x ; x > 0 xys dx Use the following initial…

A: To solve the seperable differential equation  dydx = 1+xxy8, x>0 Now,  y8dy = 1+xxdxy8dy = 1x+1dx

Q: Convert the following differential equation into a Perfect equation and then Find its general…

A: I hope the perfect equation you mean is the exact differential equation. We use the exact…

Q: Solve the seperable differential equation for. dy 1+1. -; r>0 rys dr Use the following initial…

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Q: Find the value of k so that the given differential equation is exact. (y + kxy* - 2x) dx + (3xy2 +…

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Q: Find the value of k so that the given differential equation is exact. (y³ + kxyª – 2x) dx + (3xy² +…

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Q: Find the general solution of the following differential equation:  ( 2xy + sin2x - tany ) dx + ( x2…

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Q: 4. Solve the following Second Order Differential Equation dy dy + 6- d.x 9. + 5y = 0 dx?

A: Given : 9d2ydx2+6dydx+5y =0

Q: Given the differential equation xy³dx + (x²y² + 1) dy = 0, What is SN dx ?

A: We are asked to find the δNδx

Q: For what value of k is the differential equation (k²y-6x)dx+(2x² + 2y)dy=0 exact? 2

A: Given that: (kx2y-6x)dx+(2x3+2y)dy=0   NOTE: As per our answering guidelines, we can only answer 1…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Find y, only for the following differential equation using method of Undetermined Coefficients. d²y…

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Q: Consider the given differential equation yx dy +y*dx = -4y³xdy and do the following:

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Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

A: Given differential equation is (y3+kxy4-2x)dx+(3xy2+20x2y3)=0

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: The given DE is: xdydx+y=1y2⇒y2dydx+y3x=1x...(1) Now, substitute y3=u⇒3y2dydx=dudx⇒y2dydx=13dudx

Q: Find the general solution to the following differential equation, (2xy? – ysin(x) + 2x + 1)dx +…

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Q: convert the Following differential equation into a perfect equation and then Find its general…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: convert the following differential equation into a Perfect equation and then Find its general…

A: Given problem:- convert the following differential equation into a Perfect equation and then Find…

Q: Solve the differential equation given below using the initial condition. dy/dx-ye2x=2    y(0)=1

A: Solution: The objective is to  find the solution of the given differential equation

Q: ) Find the general solution to the following differential equation, (2xy² – ysin(x) + 2x + 1)dx +…

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