Solve the equation: dy (4x + 5)2 1 tan x · Y = 2 ,3 dx 2 cos x

Q: solve using the appropriate method. y' + (tan x)y = cos2 x, y(π) = 2

A:

Q: Use this equation to find  dy/dx. 5y cos(x) = x2 + y2

A: Given:

Q: Solve the tollowing D.E Y+49= cos X sinx %3D

A: The given equation is a second order linear, non-homogeneous differential equation with constant…

Q: Find the solution of the equation cos y dy? which tends to zero as x → 0o and has the value cos y…

A:

Q: Solve the equation (x+2) Siny dx + X cosydy=1 собуду=0

A:

Q: d²y Find 2 dx? y = sin 2x+cos² x

A: Using derivatives.

Q: y (-1, 1) sin(e) cos(e) ante

A: The coordinate (-1,1) is in second quadrant in the below figure. The perpendicular is 1 unit, base…

Q: Find the general solution of y' = sin?y cos³x

A:

Q: 12. cos Vx dx

A: According to the bartleby guidelines I have to solve only first one in order to get the solution of…

Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: Solve using the Method of Coefficients: y'' + 3y' + 2y = 7 cos x - sin x

A: The given differential equation

Q: TT b) F /1- 1 – cos (2x) dx 2

A: Topic-Integration

Q: Q3) Solve (ysin x + y²) dx – („ - 2xy) dy = 0 + cosx %3D |

A: A differential equation of the form Mdx+Ndy=0 is said t be an exact differential equation if it…

Q: D- y" + 2y' + 5y = 6e2* + x sin? x + e*cos 2x %3D

A:

Q: solve the bernoulli equation dy/dx+y = y^2(sinx+cosx). and show that the answer is y(cosx+Ce^x)=1

A:

Q: Solve for y in equation y e" sin x + e cos x - y+ C.

A:

Q: 20. y% D TC = tan 2x+ 4. 21. y=- cos (x-)

A:

Q: Determine the type of equation and find a general solution. dy/dx = (sinx + cosx)/ (y^2-1) show…

A:

Q: dy cos?x = -(tan x)y ;y(0) = -1 b) Solve %3D dx

A: Given that: dydx-cos2x=-(tanx)y; y(0)=-1

Q: -2 Ssin®(3x)cos(3x) 5 dx

A: Given, ∫sin53xcos3x-25dx We have to find the integration.

Q: Verify that (e* sin y +3y)-(3x- e* sin y)y' = 0 is exact. Then solve the equation. 5.

A:

Q: Solve the DE by eliminating the arbitrary constant of x sin y + (x^2)y = C

A: Given that the expression xsiny+x2y=C. Differentiate with respect to x.…

Q: Solve the equation (y - (cos x)^2)dx + (cos x) dy = 0

A:

Q: if y^3 + y = 2 cos x, find the value of d2y/dx2 at the point (0, 1).

A: Given,

Q: solve for y, In - y| +C = (1n|cos(x) – 1| +c)

A:

Q: Solve for the general solution, (cos x cos y – cot x) dx - ( sin x sin y )dy =0

A:

Q: dx J5+4 cos2 x CO

A:

Q: Cos ax sin 2x x' sin mx 13. dx, a>0 14. dx 15. dx, a>0 1+x

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: dy Solve sin -1 | = x +y dx,

A: Sin-1(dy/ dx) = x+y => dy/ dx = sin(x+y).

Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

A:

Q: dy y sin x - Solve : +-= cos x+ dx +

A: Solution is given below:

Q: Solve cos x(e2y - y) = e' sin 2x, dy dx

A: We have to solve the given differential equation.

Q: dy +(cos* r)y=1. dx 3 Solve cosa sin x

A:

Q: Find the solution of the equation 22 J²z Əz + =e cos y dx² Əy² which tends to zero as x→∞ and has…

A:

Q: d. cos 3x = 0 e. tan 4x - 1 = 0

A: Given:- d.  cos(3x) =0  e. tan(4x) -1=0 To find:- Solution of given equations

Q: Solve the DE when all conditions set to zero. (D² + 4)y = sin²2x

A:

Q: a. cos x dy + y(sin x - 1) dx = 0; when x = 7, y = -2

A: According to our guideline we are supposed to to do only the first question if you want any…

Q: Solve: COS x y'dy +ye' sin x dx = 0.

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

Q: d dx et ex sin x + e* cos x

A:

Q: Find the solution where y= 1 and dy/dx = 0 when x =0 and describe the behaviour of the solution for…

A:

Q: Q6// Solve the equation: y cos2 x dy + sin x dx = 0.

A:

Q: dy |=x+y. dx Solve: sin

A: Using method of equation reducible to variable separable method.

Q: cos²x .2 + y = tan x dx dy

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

A:

Q: y 3x+ 6 cosx, 0 £xs 2n

A:

Q: | cos(x) sin(2x) dæ

A:

Q: sec x dx cos(2x +a)+ COS a

A: Introduction :

Q: Solve the fo llowing D.- E y + y tan X Cos X %3D

A:

Q: Solve the equations by variation of parameters. d2y/dx2 -dy/dx = ex cos x, x> 0

A: d2ydx2-dydx=excosx