Differentiate: f(x) = 2ª + e² + log, 5 f'(x) = 2" In 2+ e² A 1 ® f'(x)= 2" +e² + : 1 © f'(x)= 2" + e* + 5 In 2 1 f' (x) = 2" ln 2 +e² + 5 In 2 %3D D

Q: Solve using indeterminate coefficients y '' + 9y = x ^ (2) e ^ (3x) + 6

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Q: Solve for dy y = sec 2x² dx

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Q: h(x)=5x^2 -2x^3 +1 what is h'(2)? a.-5 b.-8. c.-4 d.-8

A: The given function is

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: y =_rV(2r-x) (х-2)(3х+5)

A: Given :

Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4) ; y(2)=4 Use 2 decimal places

A: Here we have to solve the given differential equation

Q: Convert the equation f(t)=228e^−0.2t to the form f(t)=ab^t

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Q: Find y' cos(xy) - y^4 = 5 - 3x

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Q: Given f'"(x) 3x- 1 and f'(-3) = 5 and f(- 3) = 2. | Find f'(x) = and find f(2) = %3D

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Q: FIND THE GENERAL SOLUTION ye^2x dx = (4+e^2x)dy

A: Let's find.

Q: Evaluate (2x2 - 7x) e 5×dx. 1 1 S(2x2 - 7x) e 2 5x dx = 5x e 343 +C 49 (Use C as an arbitrary…

A: The given integral is: ∫(2x2-7x)e5xdx We use integration by parts by integrate it. ∫u v dx=u∫v…

Q: D²-2D+1)y = e^x logx

A: Given differential equation is D2−2D+1y=exlogx. We have to find the general solution of the given…

Q: Solve dy/dx=2xy/(x^2-y^2)

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Q: f ′= (6/(x^2))+ 3√x, f (1) = −5

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Q: Find f '(x) and F "(x). (x) = 5+ 2x 10x + 2x f'(x) %3D (5 + 2x)? 10 - 4x f "(x) (5 + 2x)?

A: Given:

Q: Find f'(x) for f(x) = ln (5x + 2x + 7). Preview %3D

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Q: Would you be able to find the inverse of this equation y = e^x / 1+6e^x

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