c) e-x + eY = x + y

Q: Given that y =5u'+4u and x 1 hence find dy dx

A: Differentiation problem

Q: dx from a = 0 to b = 1 et + e-

A: Integrals in some cases can be simplified to standard integrals with relevant substitution. For…

Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is dx

A: let the function is f  first differentiate function f with respect of x df/dx then differentiate…

Q: The equation dx ¡y = xy can be classified as FOLDE and Bernoulli's equation.

A: Given that Diffrancial equation dydx+4x2y=xyTo identify the diffrancial euqation bernoullis equation…

Q: If dy = x² dx, find the equation of the curve that passes through the point (1, 1). 2y + x³ + 2 = 0…

A:

Q: what is the general equation to the equation dy dx² dx

A: Here we have to find the general solution of the given differential equation,…

Q: e`y? dy = VT

A: We will reduce the domain of integration by observing the fact that, e-y² is an even function. Then,…

Q: dy - y = x y2 In x dx

A:

Q: Determine dx dy in terms of x and y for the equation x + xy? – y = 3.

A:

Q: dy = y? – 4 dx

A:

Q: Determine whether the equation is exact. If it is exact, find the solution.  dy/dx=−(Ax−By)/(Bx−Cy)

A: Given differential equation is  dydx=-Ax-ByBx-Cy It can be written as…

Q: Find dy/dx in terms of x and y if ax' – by = c°. Assume that a, b and c are constants.

A:

Q: The equation + dx y = xy can be classified as FOLDE and Bernoulli’s equation. A True False

A: True.

Q: Solve the linear D.E dy + y=x dx Paragraph

A:

Q: Solve the equation dy dx? В - w(1 — х) — 0, | subject to the conditions that y = 0 and dy dx when x…

A:

Q: The equation AT*y²-J¤+1 )dy = 0 1+8x y? -)dx +( is an exact equation if A=

A:

Q: Solve the differeņtial equation dy хе %3D dx

A: Given, The differential equation  dydx=xey  We have to solve the differential equation.

Q: Find the equation of the solution to dy/dx=x4y through the point (x,y)=(1,5).

A:

Q: dy ,2,,2 1. х + 3y = x?y? dx

A:

Q: M(x,y) + N(x,y)*dy/dx = 0 ? is it Exact Equation?

A: Consider the equationMx,y+Nx,y×dydx=0provided that there exists a function ψ(x,y) such that∂ψ∂x=Mx,y…

Q: Show that y=xe-x satisfies the equation dy/dx +y=e-x

A: We find dy/dx using product rule

Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is dx Blank 1

A:

Q: dy . dx Suppose x and y are variables that satisfy the equation x – y? = 12. What is

A:

Q: Find​ dy/dx by differentiating implicitly. When​ applicable, express the result in terms of x and y.…

A: Given : 5x+7y=3

Q: dy dso +ム dx? 3- dxu コ dy = 子

A: We have to solve the given differential equation that is we have to find the complementary function…

Q: y =

A: We have to solve

Q: Find dy/dx at the given point. (2t + 9, 7t − 9), t = 1

A: We have to find dy/dx at the given point - (2t + 9, 7t − 9), t = 1

Q: 1. Use a substitution to find (6a2 + 2)e*+# dx showing working.

A:

Q: For which value of a the equation dz dy dx =1 -1

A:

Q: find dy/dx, if x=e^(x/y)

A: Let the function x = ex/y Taking log both sides,

Q: If y =x*, d'y Find dx?

A: Given  y=xx

Q: If y3 + y = 2 cos x, find the value of d2y/dx2 at the point (0, 1).

A: given, y3+y=2cos xwe have to findd2ydx2 at point (0,1)

Q: 3 I= |(e* +x² + A\dx Дх 3D0, 25 1

A: Solve the following

Q: Determine if the equation 2xy dx + xy dy = 0 is exact. Identify M =O and N=O

A:

Q: A. (x+1)* -y? ) dy dx

A: To solve (a) only Ques (a) : ((x+1)²-y²)dy/dx -(2(x+1)y-10(x+1)²)=0

Q: Solve four questions of the following DEs dx 2 - y = e*/2 dy

A: compare this DE with  so here we have

Q: If y-2xy 21, then dy dx at the point (2,-3) is

A: We have to find dydx at the point 2, -3 for the equation or expression: y2-2xy=21 We know the…

Q: The point of intersection when the coefficients of dx & dy are equated to zer of the given DDE 『うy」。…

A:

Q: y dx — (х + бу?) dy %3D 0

A: Exact differential equation: The equation P (x,y) dx + Q (x,y) dy = 0 is an exact differential…

Q: dy %3D dx = (9x + 4y + 1)?

A: The given equation is, dydx=9x+4y+12                     .........1 Let 9x+4y+1=v…

Q: Solve the exact equation   dy/dx= y/x

A: Given, dydx=yx

Q: For which value of a the equation dz dy dx =2 -1 does hold?

A: The constant rule of integration and the power rule of integration are given by and, respectively,…

Q: dy A. dx ay = xy', y(0)=1

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: For which value of a the equation dz dy dx =2 does hold?

A: as per guidelines we only solve one question at a time if you want to know the answer of all please…

Q: Calculate dy dx.

A:

Q: Find the solution of the equation dy -y = x dx | subject to the condition y(1) = 2. %3D

A: Given differential equation is xdydx-y=x and y(1)=2

Q: Find the general solution, using separation of variables: dy dx

A: The given differential equation is  dydx=e-y-x

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: