The equation below is said to be - 1 attachment - (d²y' 3 (dy sin x – x (x² – 1) ( + ye2x+1 dx2 dx, O A. Linear and homogenous B. Linear but not homogenous C. exact and variable separable D. in the form of the Bernoulli equation E. non-linear, non-homogenous II

Q: Find the general solution. 1. (2xy-3x2)dx + (x2+2y)dy=0

A: According to company rule we can answer only first question and rest can be reposted

Q: Determine the Solutions of ke followsing differential eguation ě (5-x) dx Xy dy %3D

A: A separable differential equation is any equation that can be written in the form. y′=f(x)g(y). The…

Q: Find the differential dy of the given function. y = csc 2x

A: Consider the function

Q: Find the differential dy for the given values of x and Δ x. y = 5x 2 - 2x + 3 ;  x = 2 , Δ x = - 1…

A: Given that: y=5x2-2x+3,  x=2  ,  Δx=-16

Q: What is the differential equation of the family of parabolas with their vertices and foci on the y –…

A: To find the differential equation of family of parabola with their vertices and foci on y axis.

Q: Find the solution to the Bernoulli Equation. (3siny - 5x)dx + 2x²cotydy=D0 O x³(siny- x)2 = Csin?y O…

A:

Q: 18. y = x/I - x?

A: Differentiation:- The derivative of a function of real variable measures the sensitivity to change…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2nx - 1 cos 2 dy = ||

A: topic - derivative and differential equation

Q: fınd the differential equation of a family of a parabolas with axis parallel to the x axis

A:

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xcos2y dx + tany dy = 0

A:

Q: Find the differential dz of the function f(z, y) = 4g²+z*y – 2xy and use it to approximate Az at…

A: Consider the given information:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = xV9 - x² = Ap

A:

Q: Find the differential equation for the family of parabolas with axis parallel to the x-axis and with…

A:

Q: Find the differential dy of the given function: y=sin2x-4x

A:

Q: Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dy dx…

A:

Q: 4) Among the following equations, the only differential equatiom degree is: dy = 5x + 3 dx A) d'y dy…

A:

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: Find the differential dy of the given function. y = csc 5x dy dx

A:

Q: Hello! Can you help me with this calculus problem?

A:

Q: Find the differential dy of the given function. y = arctan(x - 2) dy dx

A:

Q: Find the differential dy of the given function. y = √3-x² dy X 3 - x Submit Answer =dx 2

A:

Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

A:

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler method with h=0.1, compute y'…

A:

Q: Determine the differential equation for the family of parabolas along the y-axis. O (zy' – y)* = 16…

A:

Q: Find the differential dy of the given functions . (Use "dx" for dx.) a) y = 2x − (sin(x))2 b)…

A:

Q: Find the singular sol" of the differential eqh (P+1)² (y-px) = 1 -

A:

Q: (A) Find the general solution to ONLY ONE of the following differential f ations (1) (sec(y))² y' -…

A: We solve the given ODE  (sec(y))2y'-3tan(y)=-1 ......(1)

Q: Find the differential equation such that y(x) = (x + 10)°(c,cos(2ln(x+ 10)) +c,sin(2ln(x+ 10))) d²y…

A:

Q: Find the differential dy of the given function. y = V 3 - x2 dy =

A: Find derivative

Q: What is the differential equation of the family of parabolas with their vertices and foci on the y –…

A: We need to find differential equation of the family of parabolas with their vertices and foci on y -…

Q: A) Classify the following differential equations and solve it : 1- Y = (1 + e*)(y² – 1) dy (using…

A:

Q: ii- 2(2 cos y dx – sin y dy) = 0. y(0) (using Integrating Factors) = {) %3D

A:

Q: dy + ydx = 3x²y?dx, %3D

A: Let's find.

Q: Find the differential dy of the function y Provide your answer below: dy= dx = 5x4 + 4 4x + 3

A: y=5x4+44x+3Differentiate w.r.t xdydx=4x+320x3-5x4+444x+32

Q: 2. Give an interval of the form (a, b) around r 1 such that the IVP has a unique solution. dy = sin…

A:

Q: Let y = tan(4r + 4). Find the differential dy when x = 1 and dæ 0.4 Find the differential dy when x…

A: Given that, y=tan4x+4 differentiating both sides with respect to x, we get…

Q: dx-(it 2x tany) dy-0

A:

Q: Obtain the differential equation of the family of curves, parabolas with vertex and focus on the y…

A:

Q: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

A:

Q: Determine whether the given differential equation is separable. dy + 10 sin (x - y) = 0 dx

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

A:

Q: Find the differential of the function. Z = e-9x cos(2rt) dz = dx + dt %3D

A: The total differential of the function  is given by . So, to find , first we need to find the…

Q: Solve the equation by the method o f homogeneous differential equatio ns y' = ² + tan (2) x In |tan…

A:

Q: Find the differential dy of the given function. y = x(1 − cos x)

A:

Q: 6. Is the differential equation exact Cos y dx + (y - x sin y ) dy = 0 a) no b) for y3x siny c) yes…

A:

Q: he differential equation by Frobenius me ents represented up to and including x3 dy + (x² +1)y=0 dx…

A:

Q: (у — сos-x)dx + cos x dy %3D 0

A: The given equation is y-cos2xdx+cosx dy=0 rewrite it as y-cos2x+cosx…

Q: Which differential equation is variable separable? (A) xy dx + (x² + 1) dy=0 (в) (х2+ у) dx - Зху…

A:

Q: Test for exactness and find the complete solution of dx + [ In 2(x-1) + dy = 0 х-1

A:

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

A: Given: dx-1+2xtanydy=0