y"+ (x- 2)y'-y= 0; y(0) = – 5, y'(0) = 0 %3D

Q: 1 Y(s) 4 5s2 S

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Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

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Q: yy' = x(y)² + 4

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Q: Find f'(x) and f"(x). f(x) x2 - 8 f"(x) f"(x)

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Q: Solve the equation ny separations of the variables: y' - xy^3 = 0

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Q: Solve: у" + 5у'" — 2y' - 24у — 42е 5t 2y' — 24у 3D 42e — 2, у'(0) — — 6, у'"(0) —D — 30 | | | y(t) =

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Q: f'(x) %3D 6х — 3/x*, х> 0, f(1) %3D7 - f.

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Q: dy/dx = (x-2)e^(-2y) satiafying the initial condition y(2)=ln(2) Find y as a function of x

A: Seperate the x terms and y terms to different sides and integrate on both sides.

Q: Y'-(cosx) y=cosx.  Y(0)=1

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Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

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Q: y'-(2/x)y=(y^3)/(x^2) find the solution that satisfies y(1)=1

A: The given differential equation is

Q: f" (x) = 5x + 6 and f'(-2) = 1 and f(-2) = 0. Find f' (x) = and find f(2) =

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Q: Find f'(x) for f(x) = %3D (x-4)² f'(x) = %3D

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Q: r(x) = 3x/4- x0.1/3 + 5/4x1.1 - 3 r'(x) =

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Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =

A: Given: y'=4xy-2x and with the initial condition y0=20 To find the general solution of the given…

Q: Solve y'"+ 5y' + 4y = 0, y(0) = - 8, y'(0) = 17 y(t) = %3D

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Q: Find y' and y". y = x² In(9x) y' = x + 2x ln (9x) y" = 3+2 ln( 9x)

A: Given function is Differentiating with respect to x by using product rule of differentiation, we…

Q: f"(x) = -2 + 24x – 12x2, f(0) = 3, f'(0) = 18 %3D %3D

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Q: - 1 Find y' for y=7x7 + 9x¯ y' =

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Q: Find y' for y=8x7 + 4x¯¹. 1 y'=0

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