-3t y = 3 sin(t) – cos(t) + e is a solution to the differential equation 3. Show that : y'+3 y = 10 sin(t)

Q: What is the general solution to the differential equation (tan x)dy - (4y In y - y tan³x)sec²x dx =…

A:

Q: Find the general solution of the first-order linear differential equation for x > 0. (Use C for any…

A:

Q: Find a particular solution Y of the nonhomogeneous differential equation y 00 + y 0 + y = 2 cost −…

A:

Q: dy sin x 3) dx y=2cos sin x- 1 of first order linear differential equation COSx COsx y(7/4) = 3/2…

A:

Q: 5. Find the general solution for the differential equation -(sin y + y sinx )dx + (cos x – x cos…

A:

Q: Verify that the given function y = sin (x2 + C ) is a solution of the given differential equation:…

A:

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

A:

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

A:

Q: Obtain a linear differential equation with real, constant coefficients that is satisfied 1 sin 2 1…

A:

Q: Find the value of k so that the differential equation (6ry³ + cos y) dr + (2kz²y² – 1 sin y) dy = 0…

A: we have to find the value of k when the given equation is exact            (6xy3 +cosy)dx…

Q: Find a particular solution of the differential equation COS X dy dx 1 +ytanx = cos x e cos x for…

A:

Q: Solve the non-Linear differential equation cOS y dy = sin y(1 – O sin y).given that y(0) = 4.

A:

Q: Verify that y=sinx is a solution to dx dy 2cos x-sin x+y and solve the 2 cosx differential equation…

A: Given Information :  Differential equation : dydx = 2cos2x - sin2x + y22 cosx  y1 = sinx y(0) = -1

Q: (2xy-tany)dx + (x² – xsec*y)dy = 0; y(1) = *

A:

Q: sin x sin y y' cos x cos y

A:

Q: Solve for the general solution of the differential equation using homogenous equation. [x cos² (y/x)…

A: We will write the general solution.

Q: Solve the given differential equation by separation of variables. dy dx sin 5x y = -5 cos(x)

A: To solve the differential equation.

Q: Find the general solution of the differential equation, (5e-3 sin (3x)) dx + (5xe-y + 2 cos(3x)) dy…

A:

Q: y' + (2 tan x)y = - cos'x

A:

Q: Solve using the non-exact linear differential equation  [ytan(x)(cos(2x))-1]dx+csc(2x)dy=0 when…

A:

Q: Find the general solution of the differential equation. Use C, C1, C2,⋅ ⋅ ⋅to denote arbitrary…

A: Consider the given differential equation: y'x=4tan2x-3cosx Here, the objective is to find the…

Q: If the function y = A sin z + B cos a satisfies the differential equation y" + y – 2y = sin z for…

A:

Q: dy -2 sin x where y (5 = JT dx

A:

Q: Find constants A and B so that y = A cos(x) + B sin(x) satisfies the differential equation y" + y' –…

A:

Q: Find the differential equation by eliminating the arbitrary constant/s. Gedr cos x + Cge y = c1e 3x…

A:

Q: 2. Solve the differential equation using undetermined coefficients satisfying the given conditions.…

A:

Q: a. y = 3 sin 2x+ e-* ;y" + 4y = 5e-*

A: y=3sin2x+e-xAnd y''+4y=5e-x

Q: dy cos(x). + y sin(x) = sin²(x) cos(x) y³ dx

A:

Q: undetermined

A: We have to find the following conditions according to the given information

Q: Obtain the differential equation whose general solution is y= a sin 2x b cos 2x, where a and b are…

A:

Q: Find the value of k so that the given differential equation is exact. (7xy³ + cos(y)) dx + (2kx²y² -…

A: Given

Q: y" +y = cos x ; when x = = 0, y = 0,y' = 1 %3D

A:

Q: )Show that given differential equation is exact hence solve it (cos a sin a - xy²) dx + y(1 – x²)dy…

A: We know that the differential equation  Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x Given differential equation…

Q: Use the method of undetermined coefficients to find a particular solution to the differential…

A: Explanation of the answer is as follows

Q: Find the Differential equation by eliminating the arbitrary constant  Sin-1 x + sin-1 y = C

A: sin-1x+sin-1y=C

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A:

Q: Find the value of n that makes the differential equation xn (3x+4y)dx +(2xn+1 +2y)dy = 0 exact.…

A:

Q: y' + (2 tan x)y = cos³ x = COS" X

A: The correct answer is option (I) , i.e.  y = (cos²x)(c+sinx) The detailed solution is as follows…

Q: Solve the differential equation cos(x + y) dx + (3y² + 2y + cos(x + y)) dy = 0. f (y). Express your…

A:

Q: Find a particular solution Y of the nonhomogeneous differential equation y'' + y' + y = 2 cost −…

A: Given a nonhomogenous differential equation y''+y'+y=2cost-sint

Q: Solve for the differential equation: dy/dx - ytan x = cos x

A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

Q: Solve the differential equation as follows: (6xy* – sin x tan y)dx + (12x²y³ + sec? y cos x – 5y²)dy…

A:

Q: obtain the linear differential equation with the real, constant coefficients that is satisfied by…

A: Solution.

Q: Solve the first order differential equation using any acceptable method. sin(x) dy/dx+(cos(x))y=0,…

A: We have given First Order Differential Equation,

Q: The solution of the differential equation using dy = 5/1- y? dx variable separable is cOs 5х + с O…

A: Solve by variable separable

Q: Determine whether the differential equation (cos(y°) – 2xy+ 2)dx – (5xy*sin(y³) + x²)dy is exact. If…

A:

Q: dy 47. = cos cos 2x, y(0) = 3 dx

A:

Q: Verify that the function y (cos( 6x)) is a solution to the differential equation y = 6 sin(6 9e

A:

Q: Is the y=2 cos(x) is the solution of the differential equation of yy' + 2 sin 2x=0? Solve and…

A: In this question we have to find is the y=2cos(x) is the solution of the differential equation of…

Q: 2 sin x Show that y is the solution of the differential equation xy'+y=2 cos x.

A: