The degree of DE: (y")^2 +3y(y')+y^3 (y')^5 = 5x 02 01 05 0 3

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: Differentiate. x4 y: 3 — х3 y' У -

A:

Q: (3y" + y' - 14)= 3*13e26x - 78

A: The given differential equation is  (3y" + y' - 14)= 3*13e26x - 78

Q: ® Find ('-x"]* d x [itx"]?

A: The given integral is:

Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: (3y" + y'-14)=3*256e768x - 1536

A: The given differential equation is  (3y" + y'-14)=3*256e768x - 1536

Q: Find y' of y = 2xsec2 (x² + 1)

A: Given function is, y=2xsec2x2+1.   It is differentiated as follows: Take the constant out: a·f'=a·f…

Q: y = 5t2 - 2t + 4 -'(t) =

A: The given function is y=t25t2-2t+4. We have to find the derivative of the given function. The…

Q: for

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Q: (ど4ー) 2dx 4 X(3(Inx)*+121nx-15)2 2)

A:

Q: (:' } - 8) zp - Vz(z – 2)

A: We use the difference of cube formula for numerator

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: What is the order of the equation y" y- (y')³=4?

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Q: 1 = felan(4x*). sec²(4x²)xde 2

A:

Q: The question is:  y=(x^2+x^3)^4 , find y’

A: The given equation is y =(x^2+ x^3)^4.By the chain rule of differentiation, compute y'.

Q: Evaluate  -3 to 3 ,  0 to (9-x^2)^1/2   and  ∫∫sin(x^2+y^2)dydx.

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Q: * Salne the equalion:- (2x-44 +5)y'=n -2y+3

A: This homogeneous differential equation is solve by substitution and then by separation of variables…

Q: Differentiate, hcx) = In (x-Vr

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Q: Find the power serious in the power of x.(2x^2-3x+1)y''+2xy'-2y=0

A: Given differential equation is 2x2-3x+1y''+2xy'-2y=0         (1) Let the solution be y=∑k=0∞akxm+k…

Q: given that  x^2y^2+3x=y^3-1 use implicit differeniation to find the value of y'(1,2) a.3/2…

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Q: (x^2 + 4)dy = (2x-8xy)dx

A: Answer

Q: Calculate z=2x+y^2, Given x = 2.90 ± 0.43 , y = 7.50 ± 0.32, z=____+-_____

A: To calculate the value of z and its uncertainty, we will use the rule for propagating uncertainties…

Q: 11 .7. Determine: / 3 (2 – 5x')"(7xº – 15a²)dr J 3x+5

A: We will evaluate the given integral.

Q: Differentiate y = xe у'3

A: Apply product rule. (uv)'=u'v+uv'