Find y (or ) if In(12y) sin a = ryő + 15x' dy da O y' = y'+yln(12y) cos T+105z°y sin a+6ry6 %3D y'-y ln(12y) cos a+105x° O y' = sin a-6xy6 y-yln(12y) cos x+105x° O y' = y sin z-6ry6 O y' = y-yln(12y) cos T+105z°y sin r+6ry

Q: If r(2) = sin(z² – 10z + 16), find r' (z) =

A: Since, we have been given that r(z)= sin(z2-10z+16)Our Aim is to find r'(z)=?

Q: Show that an implicit solution of 2x sin²(y) dx - (x² + 18) cos(y) dy = 0 is given by In(x² + 18) +…

A: Given that  Equation : 2x sin2(y)dx - (x2+18) cos(y) dy = 0 and Implicit solution : ln(x2+18)…

Q: 5 Find y' if cos (Xty) =

A:

Q: 2. Reduce to an exact equation and solve it: dy_2xsin 2 y+(2siny)/x² dx 2x²cosx-(2cosy)/x (2x²ysin…

A: GIVEN: dydx=2xsin2y+(2 siny)/x22x2cosx-(2cosy)/x             (2x2y siny -x y3sinx)dx +(x3siny +x3 y…

Q: V. Show that: 1. [(cosx-sin x)'dx = x+ cos 2x +C 2.

A:

Q: Consider the following IVP: у" + у'%3D -сos x; у(0) %3D а, у'(0) 3b Find the general solution. 1 1…

A:

Q: Q1:Find dx for the following a) y = tan-(sinx) + In (sec2x) + 8tan5x + etm

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Find y'' if y = 6x sin x. A. y' = 6 cos x - 12x sinx B. y'= - 12 cos x + 6x sin x C. y' = 12 cos x -…

A:

Q: ах ) x' + 4x/y 5 y² = 3 ) Vxy +1 = y ) 3xy = (x' + y' ) ) x' +x.tan¯' y = y ) sin¯'(xy) = cos"' (x –…

A: Simple differentiation

Q: Directions: Choose the letter of the correct answer. Write the letter that corresponds to the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find y'' if y=-6 cos x. OA. y' = 6 sin x OB. y' = 6 cos x OC. y'= -6 cos x OD. y'= -6 sin x

A: The function is given byTo determine: The expression of the second derivative of the function.Formul…

Q: Solve: [xcos² (y/x) − y]dx + xdy = 0 4lnx + sin(2y/x) = C 2y 4lnx + sin(2y/x) = C x sin(2y/x) = C +…

A:

Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

A:

Q: (i). y' = 1 + 3y tanx Ans. 3y cos³x = c + 3sinx - sin³x

A: this is a linear differential equation. solve it using integrating factors.

Q: sin.x 14. What is y" if y=1-cosx A) y'= B) y'= -COS.X (1 – cosx)? sinx (1-cos.x)² C) y'= D) y'=…

A: Given: y=sinx1-cosx We have to find y''.

Q: 3) Show how the substitution u = 2 x shows that - - t/2 -Tt/2 S sin"x dx = S? cos"x dx

A: Let u=π2-x Differentiating u w.r.t. x- dudx=-1du=-dx Considering left hand side of the given…

Q: Differentiate:

A:

Q: SHOW WHETHER THE FOLLOWING DE IS EXACT OR NOT 1. (y^2 – 2x)dx + (2xy + 1)dy = 0 2. x[1 – sin(y)]dy =…

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: xt' + (t")3 = Và +5 x (3y')² ex² - y² = = (4x²y³ + y)²¹ y" 4 (cos x)² - y"

A: The given  differenrtial equation is xt'+t''3=x+54 Calculate the order of given differential…

Q: D. 1. If (x + y)² = x² + y² 2. If y = sin³ () cos³ () dy - dx X prove that y' = sin² (x) cos(x) 8…

A:

Q: Find y' where y = cos (ze19 =) – gec = Cos ( xe-

A: on doing differentiation with respect to x we get option C

Q: 4. Find d²y/dx² for the following functions: a) y = sin x? cos 2x

A:

Q: In implicit differentation problems it seems we treat x and y differently. For example, when we…

A: Recall: Chain Rule of differentiation :    If F(x)=f(g(x)) then ,   F'(x) = df(g(x))dx =…

Q: 2/x?y" – 2xy' + 2y = x³ cos x

A:

Q: Find y'' if y = 2x sin x. O O O A. y'' = 4 cos x - 2x sin x B. y'' = - 2x sin x OC. y'= - 4 cos x +…

A: