dy cosx+ ysin x =1 dx

Q: find the integrating factor of cos(x)y'+sin (x)y=2cos^3(x)sin(x)-1

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Q: Use implicit differentiation to find dydxdydx without first solving for y. x^4+y^4=−2 dy/dx=?

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Q: 2x cos(2x)dx

A: Given : ∫2xcos2xdx

Q: If y = (2x)sin (4z) , then dy sin(4æ) · (2sin(4z) esin(4z) In(x)) %3D dx X synta

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Q: Find dy/dx by implicit differentiation   4Cos x Siny  =1

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Q: Find the general solution to the ODE using the method of Variation of Parameters: y" + y= cos² x

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Q: find dy/dx by implicit differentiation. 3cos(8x)sin(7y)=8

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Q: Find the Integrating factor of: dy + y. sec5x = tan5x dx 1 (sec5x + tan5x) 5 O sec5х — tanп5x + 5 O…

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Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: dy Find by implicit differentiation. dx - 20x = 20 - eY dy %3D dx (Type an exact answer.).

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Q: That question please

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Q: Find dy/dx by implicit differentiation. 8.r2y+ 5yr = -9 y 5y + 16x 2x 4x + 5y dy/dx = %3D

A: Recall: d(u.v)dx=udvdx+ dudxv d(xn)dx=n xn-1 d(c)dx=0 ; where 'c' is any constant.

Q: Find dy/dx, where xsiny +ysinx=1.

A: Given - xsiny+ysinx=1 To find dydx Here we will use the following formulas- ddx(uv)=udvdx+vdudx…

Q: The integrating factor of the linear DE of order one + y csc x = sin x is dx

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Q: b) Find if Scosy Vt3 + 5 dt + tany = x -sinx b) Find if S* Vt2 + 5 dt + siny = x – x°cosy dx2

A: Solve by differentiation

Q: Integrate: | cos" z dx

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Q: Find dy/dx for x⁴+siny=x³y²

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Q: dy dx

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Q: in integrating the function fx cos() dx using intogration by parts, whut would you choose for your…

A: Solution

Q: Find the derivative y= 0 to x^4 integral of cos square root of t dt show all work

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Q: Q2 Integrate by parts: ex sin x dx

A: find ∫exsinxdx we know, ∫u.vdx=u∫vdx-∫dudx∫vdx now, apply this on equation I=∫exsinxdx…

Q: Find the particular solution for the given separable equation when y(0) = 3. 1 dy = ysin(2x) 1? dx

A: To find the particular solution for the given separable equation when y(0)=3

Q: Compute the differential dy  for  y=(6x+sinx)^3

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Q: Use Leibniz's rule to find dy dx dy dx for y= 8x-1 √ (t4-5) dt.

A: Concept: Newton Leibniz Theorem : Newton Leibniz A formula for differentiating a definite integral…

Q: Find dy/dx by implicit differentiation. 3 cos (9r) sin (2y) = 8 dy/dx =

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Q: dy Find by implicit differentiation. dz 3+ 5z = sin(ry) dy

A: We can find the answer using implicit differentiation as below.

Q: (x' cos(x')dx = %3D

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Q: Find the Integrating Factor of dy + 2ytanx = sinx dx

A: This is 1st Order Linear Differential Equation.

Q: Find the integrating factor of dy/dx+2y tanx=sinx

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Q: (a) Determine f 2xe3*dx by using integration by parts. (b) Determine S cos(x²) 2x dx by using…

A: Given,  ∫2xe3xdx ; We have to integrate using integration by parts ∫cosx22xdx ; We have to…

Q: The integrating factor of the linear first order differ dy sin2x y+tanx xp Oa None of these Ob sinx…

A: Given differential equation, sin2xdydx=y+tanxdydx-ysin2x=12cos2x If the equation is of the form…

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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Q: Integrate integral sin (t) cos (2t) dt

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Q: find dy/dx of y=sin^2 4x+1/2 cos 8x

A: Given,         y=sin24x+12cos8x

Q: 6. Carefully interchange the order of integration to evaluate os(x/²) dx dy. COS -1

A: To evaluate: ∫-11∫y21cos(x3/2)dxdy by changing order of integration.

Q: Give the integrating factor for 3((y^4)+1)dx+4x(y^3)dy=0. (in terms of x)

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Q: cos²x sinx dy + (y cos³x − 2)dx = 0

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Q: Find the differential of the function. y = V 4 + cos(0) -2 sin (0) dy V 4+ cos (0)

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Q: Find the integrating factor of dy/dx +2ytanx=sinx

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Q: Q10.a) Find rsinx if tnx Jt +5 dt + siny = x – x²cosy

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Q: Calculate using integration by parts: x^3 sin(x^2) dx

A: Given: ∫x3sinx2dx

Q: 5. Integrate: S (cose-sin8) de sec 20 6. Find f(3y – y³)ž(1 – y?)dy

A: 5. Given integral, ∫ecosθ-sinθ2sec2θ

Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: Find dy/dt Y=(1+Sin 12t)^-5

A: Given function is y=(1+sin12t)-5

Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: 3. dy Find if y 2xy - x: dx = cos X using implicit differentiat

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Q: Find dy/dx by implicit differentiation. 5x^(3)+x^(2)y-xy^(3)=-8 dy/dx=?

A: We are given an implicit equation as