1 Solve for the differential of y when y=sinzx, x=÷, and dx= - 3 A) B) 2 -- C) D)

Q: order linear differential eq 22. y'+ 4y = x

A:

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

A:

Q: Find the radius of curvature of y = x^3 at the point (1,1). (SOLVE BY USING DIFFERENTIAL EQUATIONS)

A:

Q: Find a homogeneous linear differential equation wit Gcosh 2x coc E 2x cin 5

A:

Q: (30. y4) +y" = 0; 1, x, cos x, sin x, (-, 0)

A:

Q: on) solve the Differential en by using vanation of parameters - 24 (+12 yll -24¹ +y₁

A: Please see the below picture for detailed solution.

Q: Show that y = cos xsin x is the solution of the differential equation y'+y tan x cos x

A:

Q: Obtain the general solution of the second order ordinary differential equa- tion y" +y= sec"(1)

A:

Q: 5. Cx sin y +x²y = Ay

A:

Q: What is the general solution to the differential equation (3 tan x – 2 cos y) sec?x dx + tan x sin y…

A:

Q: Solve the partial differential equation au sin xtan?y given that дхду ди = cos x when y= 0 and u =…

A:

Q: This nonlinear differential equation, which describes wave mo- tion on shallow water surfaces, is…

A:

Q: Given the differential equation of the family of circles with radius of 2 units and whose center's…

A:

Q: What is the order of the lowest order homogeneous differential equation which has a particular…

A:

Q: What is of the differential equation (3 +y+ 2y sin² æ) dx + (x + 2xy – ysin2x) dy = 0 ? O 2x sin 2x…

A:

Q: Prove that the change in the dependent variable z = g´(y) transforms the equation in a linear…

A:

Q: The tangent line to the curve y = x3 at the point (1,1) will intersect the x-axis at x = a.2/3 b.…

A:

Q: Prove that the function y = ecos* satisfies the differential equation: y" + sin(x) y' +y cosx = 0

A: Find y' , y" and put into given differentiatial equation.

Q: 2. Form the differential equation from the circle passing through the origin having their centers on…

A: This question is based on forming differential equation by eliminating constant.

Q: dy/(3x2) = (1 + y²)1.5 dx.

A:

Q: Show that cos x is the integrating factor of the linear differential equation dy/dx= sec x+y tan x

A: Integrating factors are useful for solving ordinary differential equation  that can be expressed in…

Q: What is the differential equation obtained by eliminating the parameter A from the relation y = A+…

A: In this question, we need to find the differential equation which has the solution  y=A+ln(14x)18…

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

A: We will solve the problem

Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) = c₁cos (0)…

A:

Q: obtain in alinear differential eqaution with real, constant coefficients that is satisfied by the…

A: The solution of the problem is given in the next step.

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: -) Solve the following partial differential equation us ing direct integration: a²u = cos (x +y) дх…

A: Topic:- application of integration

Q: 7. Find the differential dy of the function y = x (1-cos(x)). If the error in x is ", find the error…

A:

Q: What is the order of the lowest order homogeneous differential equation which has a particular…

A: Given particular solution y=x2+exsinx2 We have to find the order of the lowest order homogeneous…

Q: 10. Find all analytic functions such that its real part u = u(x, y) satisfies the differential…

A:

Q: 4.3√√√7

A:

Q: Form the differential equation whose solution is y = c1cosz + c2sinx Also find the particular…

A:

Q: Estimate the value of 217(1/3) a. approximation b. differentials

A:

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

A:

Q: sin(ax)y = -a cos(a.x)y + a

A: Given that  The differential equation  To find the general solution

Q: Suppose that a fourth order differential equation has a solution u Se sin(r) a) Find such a…

A: For the solution of differential equation y=8xe4xsinx the auxiliary equation will have solution: 4+i…

Q: are constants. Find a homogeneous Euler-Cauchy differential equation whose general solution is C…

A:

Q: Compute the approximate value using differentials. /272 √234 The final answer should be in fractions…

A: Given the expression 272234. The objective is to compute the approximate value using differentials.…

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A:

Q: Solve eqetions sto chastic differential @dX = (-ax,+p)dt Xo=70, O dY = pt Ye dt +

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Solve the differential equation by variation of parameters. y" + y = sec(8) tan(0) y(8) =

A:

Q: (f). Verify if the differential equation given by 10x°y* + e¬Y + 3 sin(4x + 3y))y' + (6x²y° + 4…

A:

Q: Determine whether the given differential equations are homogenous or not homogenous. If the equation…

A: A first order differential equation is homogenous if it can be writen in theform dydx=Fyx

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

A:

Q: is there any homogeneous linear second order differential equation such that two functions e* and t²…

A: Given: The two functions and   is the solution of the second order differential equation

Q: The linear differential equation y' - cotx + 3y csc x = 0 has the integrating factor tan A tan () B…

A: The objective is to find the integrating factor of given equation: y'-cotx+3ycscx=0

Q: Find the general solution of the differential equation / - 4(sec r + tan x)y' – 4(y – 2) = 0. about…

A:

Q: Transform into first order linear form the differential equation sin 0 dr 2rcos0 %3D OP

A: First order linear form of the differential equation is:  drdθ+P(θ)·r = Q(θ) hare P(θ), Q(θ) are…

Q: Use separation of variables to find the general implicit solution to the differential equation. 4…

A: Given that:  4dydθ = ey sin2θy sec(θ) So, by using variable separable, we getyey dy = 14. sin2θ…