d {in(1 — а? + а°)} dx

Q: e (a cos bx + b sin bx) a + b? ax Secos bx dx=-

A:

Q: Find a solution to the euler equation, from : rx2 (2? – y/²)dx

A:

Q: dy 13 %3D - dn Solve this by using Bernoullis eajuation?

A: Given differential equation is: dydx=y(xy13-1)dydx+y=xy141y14dydx+1y13=x                         (1)…

Q: dx from a = 0 to b = 1 et + e-

A: Integrals in some cases can be simplified to standard integrals with relevant substitution. For…

Q: 41. e* sin y d A, R = [0, 2] × [0, 4]

A:

Q: d [sin? (In x)] dx

A:

Q: 4X dy 2siny ?) S dy sinzx e 3) S sin? dx

A:

Q: -을 x e [T, 3 J Sinx =

A:

Q: Solve the following DE: dy - 5y = 0 dx

A: The given differential equation is  a first order linear differential equation in variable separable…

Q: j) S (2 cos a – e) dx

A:

Q: 1 In (a² + y? + 1) dædy -VI-y? |

A: I use polar conversion method to solve this double integral

Q: Find the general solution of the given Attached equation

A:

Q: dy - y = x y2 In x dx

A:

Q: d. 3) [cos πx]4 %3D dx

A: 3) To find the derivative

Q: 4-1{ 1 s(s? + 4 ၂။ sin2t.dt

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

Q: The solution of the DE dy + (y – 1) dx =0

A:

Q: 2m (b) S* dz. VI+3 sin z cosz

A: Explained below

Q: d 27. dx ], cos t dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: cos ax -dx = re¯ª,a>0. .2

A: With the help of Residue we can prove given result:

Q: Solve the differeņtial equation dy хе %3D dx

A: Given, The differential equation  dydx=xey  We have to solve the differential equation.

Q: Solve the following Bernoulli equation: dy - 4y-2y dx

A: We have to do variable separation.

Q: dy ,2,,2 1. х + 3y = x?y? dx

A:

Q: dy If x = a (0 – sin 0), y= a (1– cos 0), then find dx |

A: Introduction :

Q: ? cos i dt

A: You must have idea about integration by parts.

Q: ds?--dt? 2tet dx dz +t2" dx? Calculate the tetrad components 7

A: Solu

Q: (In x)² dx, .3 te ato u a ? and dy

A: Integratipn by parts problem

Q: The equation (tan?x+3y²)sec?xdx+(3tan?x+y²)dy= 0 can be solved by A Bernoulli's Equation B…

A:

Q: a. The velocity of a car in meters per seconds travelled from its origin is given by v(t) = In (t2 +…

A:

Q: Given a = 2 cos t + 3 and y = 3 sin? t dx dt dy %3D dt dy da

A: From the given problem:   x=2cost+3  &  y=3sin2t   So, a)…

Q: cos(s) d u du = ds -8

A:

Q: dy IN QUESTIONS 1-13, FIND dx' 3. у %3DV11 — бх

A: Given that       y = √(11-6x) We have to find dy/dx .

Q: (d) > sin km/2 S.

A:

Q: d (c) (cos(2²) + In(3 – 2æ)) dx

A:

Q: t cos 412 dt

A: We have to solve this integration.  I am using substitution method.

Q: The equation (tan?x+3y?) sec?xdx+(3tan?x+y²)dy=D0 can be solved by A Bernoulli's Equation DE with…

A:

Q: dy 5. If y = e3+1 sin(1 – a²), then Find da

A: We have given y=e3x+1sin1-x2 We have to find dydx.

Q: 3. If y = w sin w, then what is dy/dw??

A: y=wsinwTo find d2ydw2

Q: Use the d'Alembert solution to solve 1 0u 9 dx2' u(x, 0) = cos? x, u(x,0) = e"+1. -0 0, t > 0,

A:

Q: Solve the DE (ey+1)cosx dx+eysinxdy=0

A:

Q: et cos(e') dt = (b) +C 3+4 sin(et) 3/4 sin-1 (c) (승교) dx = 16x?

A:

Q: y = C, e3x + 2C2 sin3x

A:

Q: dx If x² – 2x – 4 is solved by trigonometric substitution, the resulting integrand is?

A: The integral function is ∫dxx2-2x-4dx

Q: Solve the di fferential equation (e+1) cosx dx+e'sinx dy=0.

A: Given differential equation is : ey+1cosx dx+ey sinx dy=0 To solve the given differential equation.

Q: sec?y dx? – csc²x dy? = 0

A: The given differential equation is sec2 y dx2-csc2 x dy2=0, which can be simplified as follows: sec2…

Q: Find the Product solutions of 2) du du - I dy dx +

A:

Q: Solve the following using the method of solving Bernoulli Equations. dy 1. dx +? = x²y?

A: Given:         dydx+yx=x2y2 This is of the form dydx+P(x)y=Q(x)yn…

Q: Solve (D? – 3D + 2) y cos (e-)

A: