xy' + y = 0, y(4) = 6 %3D

Q: Differentiate. ax + b f(x) %3D Cx + d f '(x) =

A:

Q: Find f(x)

A: It is given that f'x=1+3x, f4=25.

Q: Calculate dy/dx. No need to expand answer. y=7x^2-9x+17/2x+4 dy/dx=

A:

Q: =xy^

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: xy' = x³ + 2y.

A: Given: xy'=x3+2y ⇒y' -2yx=x2 Solution of linear differential equation of the form y'+p(x)y=Q(x) is…

Q: Dy/dx=(3x-5)(x+1);y=1 when x=-1

A: Given equation is: dydx=3x-5x+1 And the condition is: y=1 when x=-1

Q: For the following systems of differential equations, (i) Find the general solution (ii) Plot the…

A: given X'=1011X (a) to calculate the general solution

Q: 2 (x-4) dx = (S %3D 2.

A: Given : The definite integral is ∫02 ( x - 4 )2 dx .

Q: second derivatives of f(x.y) = (x+y) e.

A:

Q: y y' + (2х + 3у) = 0 y(x) = ? =>

A:

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

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Q: sec?xsec'y dx dy .2

A:

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

A:

Q: 2y" + 29y = 0, %3D y(0) = 7, y' (0) = 7. y(t) =

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Q: Sve SVé -3 dt u = Ve' – 3

A:

Q: 2 y (4- y²)³ dy

A: The objective of the question is evaluate the definite integral.

Q: Find y' if y = In(7x² + 3y²). y' =

A:

Q: y=x2+4x+3 /  x1/2        y'=?

A:

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: y" - y' = -4 y(x) = %3D

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Q: dy '(x2 + 2x)을+(x-+2) y 3D xe

A:

Q: e*(y' – y) = 2xy?

A: Given

Q: 3. (2x – y)3 = 3x?y, find y' %3D

A:

Q: x(^2)+2xy+y(^3)=4 Find dy/dx

A: The given equation is

Q: 2хуу' — 1 + у? y = 2; x = 1 %3D %3D

A:

Q: y' = = x/n(x)

A: We can find the derivative of the given function by using logarithmic differentiation.

Q: y' = e2x + y – 1

A: Using method of linear differential equation.

Q: Find y' for y=8x7 + 4x¯¹. 1 y'=0

A:

Q: If f'(1) = 3e2 and f(0) = 2 then find f(1). %3D %3D

A: Given:     To determine: f(1)

Q: 10. y'+y = 3x³ + x; y(-1) = 4 су 3 3х3 + х; у(-1) %3D4

A:

Q: y'=xsin^2y

A: Given                y,=xsin2(y) we will solve this differential equation very easily by…

Q: - 1 Find y' for y = 7x-4 + 2x-1. y' =

A: We havey=7x−4+2x−1

Q: xy y' = x² + y² %3D with y(1) = -4, then y(e)

A:

Q: y' = e2x + y – 1 %3D

A:

Q: Find y' if y = (4 + 1)15z+17

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Q: y" +y- tanx An 8.

A: Given

Q: y' - (1/4t+64)y = 60 ; y(0) = 0

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Q: Determine the equation whose y '=>/3.x -

A:

Q: Solve y'+xy= xy“.

A:

Q: 2.4ax³y = 4 , find y %3D

A: Differentiate 3 times with respect to x