y 45° V10 x =

Q: Find y". y = ex sin x y" =D %3D

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: y' + xe¥ = 0 %3D

A: solving differential equation by variable separation method

Q: 4- find Juw w = X + y y + Z ९ ८०९ ६ y = e Sint and

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Q: (ху + 4y?)dx — (x? - 5ху)dy %3D0

A: The given differential equation is of the form Mdx+Ndy=0 where, M=xy+4y2N=5xy-x2 Differentiate 'M'…

Q: Cx + Hy=J , solve for x

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Q: dt cos?(t) V5 + tan(t)

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Q: y dx

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Q: and simplify: y = csch² (x² + 1) da Find dy

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Q: solve using linear (y-cos2x)dx + cosxdy = 0

A: Topic = Differential equation

Q: Зх + 7y h(x,y)%3D find and dx ду ху - 10

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Q: Find dy/dx    y = 5 tan6x

A: Given Data: Equation: y=5tan6x The first derivative of the tangent function is, ddxtanx=sec2x…

Q: Find d'y /dx? Y = xtan (=)

A: d²y/dx² means we have to calculate second derivative of the function.

Q: find dy/dt.

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Q: Find y". y= e* sin x y" =O II

A: It is given that, y = ex sinx. Compute the second derivative of y as follows. Differentiate y with…

Q: Find dy/dx for the equation and explain steps briefly.  tan(7x2)= 32y+y5e6x

A: solve the following

Q: sec“ x dx b)

A: To evaluate the integral  I=∫sec4x dxI =∫sec2x × sec2x dxI =∫ 1+tan2x sec2x dx Substitute  t = tan x…

Q: .cos(z+ y), y(0) 3 T피/4 da 12.

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Q: Solve the equation (y - x + xy cot x)dx + xdy = 0

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Q: Find dy/dx. y = V9 + t 9 + t

A: Find the derivative of x  and y separately dydx=dydtdxdt Given : x=t9+t Take derivative of x with…

Q: -st L[ft)] = F(s) = [e“ f(t) dt

A: Given statement is a formula to find Laplace transform of a function f(t) .

Q: 1- x dx y =

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Q: (y* — 2ху)dx + З3x?dy %3D 0

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Q: Evaluate [C sin(x + y)dxdy. Answer: 0

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Q: cos a V1+ cos2 r dr dy =?

A: In a double integration, the inner differential variable is integrated first. The order of the…

Q: Find y". y310x cos X y'" =D %3D

A: Please refer to the image below.

Q: TT/4 d. 5(1+ tan(t)) sec² t dt

A: Given: ∫0π/45(1+tan(t))sec2tdt

Q: yаx + (x3у? + х)dy %3D0

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Q: 2y(x? — у + х)dx + (x? — 2у)dy %3D0

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Q: dy 2xy x² + y? dx ,2

A: I am attaching image so that you understand each and every step.

Q: Find , if y= cos"(2x) + 2e*c* dx sec x

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Q: // (cos (a? + y³)dA where D: {(x, y) | 4 < x² + y² < 49} Find

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Q: а. (у — cos?x)dxх + сosxdy %3D 0 b. ydx %3D (еУ + 2ху — 2х)dy

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Q: 5. (x2 - y?)dx – 2xydy = 0 %3D

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Q: Find , if y = x² cot x dy dx

A: Given Data, y=x2cotx

Q: Solve the following equation y" – 2y' + y = Answer: y = C,e' + Czte' – e' In(1 + t²) + teʻ tan-i t

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Q: d'y Find if y = 5 sin x cos r. da2 d'y %3D da2

A: We will solve the following.

Q: Pnd y snt+ x=2-y*. Find y' if sin(- =) +

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Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: -X- al S(3te cosl0.5)du -find midpoint

A: For the solution of the problem follow the next steps.

Q: d (e) [arccsc u] dx

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Q: 6) Í y cos xy dxdy 00

A: Please refer the attached image for complete solution.

Q: Which is an equation of y=cos(x) shifted π units to the right?

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Q: (d) y = tan-1 Vx (e) y = xsinx

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Q: For the equation 9x² + 6xy + y² = 1 %3D dy (a) Find dx

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Q: dx 2 0, x + x+ Vx + Vx +.. #mathiratti

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Q: y" + 4y = 16 t cos 2t

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Q: у(у? — 2х*)dx + x(2у? — х?)dy%3D0

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Q: v(t) = cos(2t)

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