Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y + (y) +1

Q: 5y' + xy = x2 + 5

A: We solve the differential equation by finding Integrating factor method. For the standard first…

Q: 3) 2y"+y'-y = x + 1

A:

Q: 4/3 5² = 2² -3 (2²) *² y' x

A:

Q: with y(0) -1

A:

Q: 2- y'" + 7.5y" + 14. 25y' – 9.125y = 0, y(0) = 10.05, y'(0) = -54.975, y"(0) = 257.5125 %3D %3D…

A: As per answering guidelines of Bartleby I am supposed to answer only first question. If you want…

Q: {In(æ² + xy+y³)} Find

A:

Q: 7.4' t-y 2t-+-5y

A: The given differential equations homogeneous first order differential equation which can be solved…

Q: Find y as a function of x if x'y" + 5xy' + 4y = 0, y(1) = 9, y'(1) = -2. y =

A: Solution :-

Q: Find y. x³y³ + 3x = 8y³ +1

A: Given: x3y5+3x=8y3+1

Q: 5+2x+x2 Find y' if y = 2x 243x/2,3x -1/2 -1/2 1/2, 1/2

A: Topic-differentiation

Q: (4) M" - afg' -4fg= 0; Y@-1, g'()=0

A:

Q: find y as a function of x if: y'''-13y''+42y'=60e^x, y(0)=11, y'(0)=24, y''(0)=21

A:

Q: -4x y"+6y'+9y=7+

A:

Q: Differentiate. y = In (4x² - 7x+9) y'=0

A: The function is The aim is to find the derivative of the function

Q: y"'-3y"+2y'=t+et

A:

Q: Find y' if y = In(9x² + 5y²). y' = X

A: The given data is: y=ln(9x2+5y2)  Find y'

Q: Find y' if y= is-2x(+)* +

A:

Q: 9. Find y' if y – x²y = x³

A:

Q: Find y' if y = In(7x² ? + 3y2). бу 7 + 3y y'

A:

Q: Find y as a function of x if y(0) = 13, y' (0) = 22, y" (0) = 27. y(x) = y" - 15y" +56y' = 42e*,

A:

Q: Find the | y' = 12x³ – 12x² – 12 Oy' = 6x² + 6x Oy' = 6x² - 6x Oy' = 12x + 6 derivative if y = 2x³ +…

A:

Q: 8) y'+y=17 sin(2t), y(0) =-1.

A:

Q: 2. (x2) y = y+2(x2)

A: Topic = Differential equation

Q: y""+12y" +36y=0; y (0) = 0; y'(0) = 1;y" (0) = -7 ✓y""+y" - 2y=0 y" - 4y'-5y=0; y ( 1) = 0; y' (1)=2…

A:

Q: +ay'- - 3X = 0

A:

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

A:

Q: Ex; y'' + 3y" + 3y' + y = 0

A: the given differential equation is  y'''+3y''+3y'+y=0

Q: y''''' + 8y''' + 16y' = 0

A: Given differential equation yV+8y'''+16y'=0 We have to find the general solution of the given…

Q: x² +2 .3 x' +6x

A:

Q: |_y'''+12y" +36y'=0; y (0) = 0; y'(0) = 1;y" (0) = − 7

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: y" = 2y^3 + 8y, where y = 2; y'= -8 when x = 4

A:

Q: b) xy'+ 2y = 3x

A:

Q: Find y' (x) if (3xy +7)² = 6y.

A: Differentiate both sides with respect to x and by using the formula for derivative of square of…

Q: Find y as a function of a if = y"-7y" +12y = 6e², y(0) = 24, y' (0) = 16, y" (0) = 27. y(x)=

A: