y" + 4y' = 0, y(0) = -4, y'(0) = 6, y"(0) = –8.

Q: Solve the partial differential differential by separation of variables 70z + 6 = 0.

A:

Q: How do you test for the exactness of differential form?

A: given,      to test for the exactness of differential form

Q: Find the differential equations having as solution; all circles of radius 1 and centers on line x =…

A: Recall the order of a differential equation of a given relation is the number of arbitrary constants…

Q: Obtain the differential equation of the family of circles with center at point (h,k) and radius r.…

A: The equation of the circle having a center (h, K) and radius and radius r is given by:…

Q: 4. |1- sin2y dy 6. y +2)/y- 1) dy (y + 2)/y

A:

Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

A:

Q: Find the differential equation (Family of Curves): Lines with slope equal to the negative reciprocal…

A: Please check step 2 for solution.

Q: Obtain the differential equation of the plane curves described 5. Family of straight lines with…

A: Note:- As per our guidelines, we'll answer the first problem as exactly one is not mentioned. Please…

Q: Obtain the differential equation of the family of circles of fixed radius r with center on the…

A: We have to obtain the differential equation of the family of circles of fixed radius r with center…

Q: Find the differential equation characterizing the family of curves desonbed : 1. Careles passing…

A:

Q: (3) y = ln¯' væ

A:

Q: Obtain the differential equation for the family of circles with center on the line x = 8.

A: The general equation for a circle can be written as

Q: a. Circle of radius 1 and centers on the line y = x

A: The solution is given as

Q: Obtain the differential equation of the family of curves as described. Draw some representative…

A:

Q: The differential equation ry" + 3y - 7y=seca is normal on any open interval not containing a = 0.…

A:

Q: What is the differential equation of all parabolas with axis parallel to the y-axis?

A:

Q: ① Solveing dy - - x dx = 。 ㅎ

A:

Q: 5. 2x sinh+ 3y cosh2) dx -- 3x cosh dy = 0

A:

Q: Obtain the differential equation of the family of curves. 1. Circle with center at the origin.

A: The equation of a circle with center at (a , b) and radius r is given by (x-a)2+(y-b)2=r2 Hence…

Q: 2 sinh 3x cosh 2y dx + 3 cosh 3x sinh 2y dy = 0

A: We know sinh xcosh x = tanh x ∫tanh ax dx = 1alncosh ax + C    (where C is constant of integration)

Q: ex 1. y" – 2y' + y = x5 when y(0)=1; y'(0)=2 %3D

A:

Q: 4. y" +2y'+ = cos a COS

A: We will solve the problem

Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: What is the c value obtained for the special solution of the equation under the initial condition y…

A: Here we have to find constant of integration c.

Q: 3. The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Here we will use two formula  1st Area of triangle  If two sides of a triangle has length a and b…

Q: Find the differential equations of the families of curves. 1.) Straight lines with slope and…

A:

Q: Obtain the differential equation of the family of circle with center on the x-axis

A:

Q: (3tanx-2cosy)sec²xdx

A: We will solve the differential equation.

Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

A:

Q: The integrating factor of non-exact differential equation (x°y³ – ®)dx – (y6 – x³y)dy = 0 - -

A:

Q: Obtain differential equation of the family of curves with properties indicated

A:

Q: Find the differential of the function. y = 1 divided by x^7 - 8x dy =

A: we have to find dy

Q: Obtain the differential equation of all straight lines with alebraic sum of the intercepts fixed as…

A:

Q: Obtain the differential equation of all circles with center on line y = -x and passing through the…

A:

Q: Parabolas with axis parallel to the y-axis

A: Equation of parabola parallel to y-axis and having center(h,k) and having distance a from vertex to…

Q: what is the differential equation of the family of parabolas that has a vertex along the line y =…

A: Given that Parabola that has a vertext along the line y=-2 , and distance from vertext to directrix…

Q: Match the differential equation with its direction field. y' = 5(x + y) – 1 -0.6- --0.4 - -0.2 0.2…

A: Given that y'=5x+y-1 Let fx, y=5x+y-1 then y'=f(x, y) As, we can see in given problem f(x, y)…

Q: 1-f²₁ ¹/²(y² sinx dx dy) 2-√²-dxx2 0 3- f(cscx cotx)² 2 4- f₁² x (x − 3)dx for 5-S²₂ (x³ + √x) dx

A: 1.

Q: Obtain the differential equation of the 5. Family of straight lines with x- intercept and slope…

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

Q: 2. Obtain the differential equation having the solution as the equation representing all circles of…

A: The solution is given as

Q: Find the differential equation of all sphere of radius 5 having their centers in the xy planes

A:

Q: Circles with center on the line y = x

A:

Q: Obtain the differential equation of the family of curves as described. Draw some representative…

A: Here first we write one parameter family of given curve and then we use differentiation to eliminate…

Q: by

A:

Q: 3. (2х - у - 4) dx - (х-3)dy -0 when x %3 1, y 3D 4.

A: We try to identify and group terms and integrate.

Q: Evaluate the integrals

A: Given integral is:

Q: arabolas with axis parallel to the y-axis

A:

Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. 1. Parabolas with vertex and…

A:

Q: Form the partial differential equation by eliminatiug erbitrary Goostant function from zze^ R lx-y)…

A: Partial differential equation