1 (9 – z³)dz dy dx 0. 0.

Q: =D{sinh(2r) – ţa dy/dx agi

A: We know that sinhx' = coshxx' = 1 and (f(g(x))' = f'(g(x))g'(x)

Q: (a) (e* +In (y ))dx ++1 dy = +1 dy = 0 , y (In (2)) =1

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

Q: 37. - dy y. dt

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Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: Compute dy and Ay for y =-4x – 3 at x = -1 with Ar = dx= -0.06. Give your answers to four decimal…

A: Given data: fx=y=-4x2-3, x=-1 and ∆x=dx=-0.06 We know that ∆y=fx+∆x-fx Substitute the values in…

Q: Evaluate the double integral : (y³ – 12x) dx dy -

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Q: dy/dx if y = cosh 2 Jx +1 2 JX +1

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Q: e) у- In 2 2xe dx 1 dx xcos(In x) /2 g) y= V1+cos4xdx

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Q: 2. Find the value of dx at y=2 if x=z²+5z and z= (y² + 2y)²/3.

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Q: Find the general solution for -x) dx - (-y) dy dy = 0

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Q: 3y dx 2 (2y In +3 sin y]dy =- + 3 Sin Y X+ 3

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Q: dy/dx=3x^2+1 with y(1)=2. Estimate y(2) by Euler's method

A: given differential equation dydx=3x2+1 with initial condition y1=2 claim- estimate y2 by euler's…

Q: 2. Z dx dy dz to

A: (5) Given integral is ∫02∫04−z2∫02−zzdxdydz.…

Q: Particular integral of dy +3 dx dy + 2y = e-2a + sin is dx?

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Q: 5. (ex + Iny +) dx +(÷Inx + siny) dy = 0

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Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

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Q: 11) (3ycos(3x)dx– sin(3x)dy)/ y = 0 12) sin(ß y)dx =-ß cos(B y)dy

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Q: In(5x +3) dy at x = 0. dx (a) If y = then find et

A: Given; y = ln(5x+3)/e5x

Q: 2. (1+Inx)dx +(1+Iny)dy = 0 when y( - 2) = - 1.

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Q: Find dy/dx at the given point without first solving for y. x2 + 4xy + 23 = 0 at (1, −6)

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Q: Compute dy/dx for the function. 2. y sinh - 6x

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Q: A particle moves on the graph of y^2 = x + 1 so that dx/dt = 4x +4. What is dy/dt when x =8 ?

A: We have, a particle moves on the graph of a function given as y2=x+1 Differentiating both of the…

Q: 4. (y² cos x - 3x²y – 2x) dx + (2y sin x – x³ + Iny) dy when x = 0, y = e %3D 5. (x² – 1) dy = ((1 +…

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Q: 3. Find dy/dx of: x'(x-y)-x-y evaluated at x = 0.001 and y = 0.002

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Q: 2. sin3x dx + 2y cos 3x dy = 0

A: Given equation - sin(3x)dx+2ycos33xdy = 02ycos33xdy =-sin3xdxydy =-sin3x2cos33xdx             Taking…

Q: 8/ (e* sin y +3y)dx -(3x-e* sin y)dy = 0

A: Given thta  The differential equation

Q: Estimate Ay using differentials. 1/33x-1, y = x ¹/3 e³x-1. a = 1, dx = 0.1

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Q: Find dy/dx for y = 3l(sin-(e-3**)12 dy 3(sin"(e-*)* In3 2(sin-"(e-3x*)- dx 1(-6х) V1-e-6x2

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Q: Compute the differential dy for y = 7x° – 4x2. dy =||

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Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: Compute dy/dx at P=(2,1) on the curve y^2x^3 + y^3x^4 - 10x + y = 5

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Q: 11. Find dy/dx of In(x² + y²) + 2 arctan

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Compute the differential dy for y = 4x³ + 2x?. dy =0

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Q: The Integrating factor of the equation (x²y³ + xy) dy dx 1 is

A: We have to find the integration factor of the equation x2y3+xydydx=1. We know that integrating…

Q: 3. Find dy/dx of: x(x-y)-xーy evaluated at x = 0.001 and y = 0.002

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Q: dy = (x – 2)e-2y dx einitial condition y(2) = In(2).

A: Explanation and solution is given below.....

Q: Find dy/dx implicitly. exy + x2 - y2 = 10 dy dx

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Q: 1. Non-Exact DE (4x² – 4xy + 3y² + 2x – 3y)dx +x(2x – 2y + 1)dy = 0 -

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

Q: dy of y = sin(3x² + 5x – 4) * In(e*) is dx

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Q: The degree and order of the differential 1 dy equation 1+ is 3 dx wy dx

A: Solution

Q: Find dy/dx.   e4x=sin(x+3y) dy/dx=

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Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find…

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: 3) Find dy/dx Cas %3D X-

A: Given:

Q: 3- Coshx dy +ly sinh x +e) dx

A: We have to find the solution of differential equation

Q: 4- Find dy/dx for y = 3[(sin-(e-3x*)1² dy 3(sin-(e-3*)1* In3 2(sin-'(e-3**) 1(-6x) %3D dx V1- e-6x2

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Q: ex dy dx dz = e** dz dy dx 0.

A:

Q: 3. Find dy/dx of: x'(x-y) -x-y evaluated at x = 0.001 and y = 0.002

A: The given equation is x2x-y2=x-y2 at x=0.001 and y=0.002.

Q: ¥3 at x = 0, and = 0 with the dy dx

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Q: dy - 1 = siny dx

A: Given : dydx-1=siny To Find : solution of Given DE

Q: Approximate Ay using differentials for y = x2 - 4x at x = 6 when Ax dx = 0.03.

A: