Solve y'=+x

Q: Simplify: x + 1 x - 1 x - 1 x + 1 x - 1 x + 1' x + 1 x - 1

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Q: y = (2y^4 + 2x)y' How can I solve it?

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Q: What is teh solution to the equation; 4^-2x+3k=16^4x+k

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Q: '= -x+y - 8

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Q: ® Find ('-x"]* d x [itx"]?

A: The given integral is:

Q: Solve for  f(x)= 2x^2 + 10x - 8 find f(5)

A: The function is given by f(x) = 2x2+10x-8 To evaluate : The value of f(5)

Q: Solve y′  of (t^5+t)(t^3−4t+1)

A: ddtt5+tt3-4t+1Apply the Product Rule:  f·g'=f '·g+f·g'f=t5+t,…

Q: x' -x? dxp x* +2x2 +1

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Q: Solve for dy y = sec 2x² dx

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Q: Solve for the equation by equating coefficients: y′′ − 3y′ + 2y = 2x^2 + e^x + 2xe^x + 4e^(3x)

A: The given differential equation is: y''−3y'+2y=2x2+ex+2xex+4e3x

Q: How to solve this equation y'''-8y"+4y' + 48y= 4x^2+1 using Variation of Parameters

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Q: solve (D^3-3D^2+3D-1)y=x^2(e^x)

A: Solve the differential equation:  D3-3D2+3D-1y=x2exD-13y=x2exy=1D-13x2ex   y=1D-13x2ex  =ex1D+1-13x2…

Q: 2x'+4x-6-0

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Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

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Q: 12 -9 X' 4

A: Given that, X' = AXwhere,A = 12-940 We know that the root (eigen value) of the matrix can be…

Q: 3х -5х+1 5. H(х) %3 x*- 4х H'(x)==2 -7х-2х+4 (x²-4x) %3D

A: Quotient Rule where u' = du/dx

Q: +4 2x. value Of X?

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Q: Find y' for the function. - 8 4 2y* + 3x3

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Q: ydx=(ye^y- 2x)dy

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Q: Solve 12sin^2(w)−11sin(w)+2=0

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Q: Sinh(8)=

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Q: solve 4sin^2x+4coscos(x)-5=0 in the interval (0°, 360°]

A: Step 1: Step 2:

Q: (2y^2 + 3x)dx+2xydy=0 Solve using integrating factor

A: To solve the following differential equation by using the integrating factor.2y2+3x dx+2xy dy=0

Q: Solve x'=3xt^2-3t^2, x(0)=2.

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Q: y=cosh^-1 (3)

A: We have to find the value of the given expression y=cosh-13.

Q: Solve the IVP y’=3xy^2

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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

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.