1) 9y" – 30y' + 25y = 0 2) y" – 4y' + 3y = 0

Q: 15) through: (4, 0), perp. to y=--x- 5 3 | 17) through: (1, –1), perp. to y= +1

A: NOTE: Refresh your page if you can't see any equations. . the given line is the coeficient of x is…

Q: y" - Зу' — 4у — 0

A: Given differential equation is y" -3y' -4y=0

Q: 1) x + y + z = 9 2x + 3y + z = 23 3x + 2y + 4z = 22

A:

Q: ) ydx + zedy-y'dy=o

A:

Q: 5. Find the homogeneous differential equation whose general solution is y = 3 cos x - e³x/2 - 4x sin…

A: Note:-“Since you have posted multiple questions, we will provide the solution only to the first…

Q: 11) y=7x-21 y = 8x - 24 A) (-5, 0) B) (0, –5) C) (5, 0) D) (3, 0)

A: Consider the system  y=7x-21                            ..............(1)  y=8x-24…

Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

Q: Lim. Zan² (4x) X² it: to x 70

A: Let,the given limit is

Q: 2. x = u² + 1, y = 4u² – 4u

A:

Q: -1/2 6) xdy+ydx=(x²+y')"/?(xdy-ydx)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Find the divections..in.w.hic . fCx,y) = X- a.. Increases.ms..rapidly.at. paint.C1). b. Decrenses…

A: Solution: The given function is fx,y=x22+y22    ......(1)

Q: 5. Differentiate a) y²=3x²y+4xy² b) y=2x²-3x+1 2x+2

A: Given :  a) y2=3x2y+4xy2 b)  y=2x2-3x+12x+2 To differentiate the given function. Following…

Q: 2) -3x + y = 23 A) (4,1) C) (-8, -1) B) (-4,-1) D) (1,4)

A:

Q: ,3lnx +2x4 "dx A) 3lnx 2x4 x3 D 3lnx+ 2x4 E None

A: Using substitution method.

Q: дz дz Givenz = xey +yex, Find дх’ду

A: in partial differentiation , other variable is considered as constant when function is…

Q: V3 tan 30 = - 1

A: tan π/6 = 1/3

Q: 5. (1- x)"dr+ j*+x{1-x)*]dy = 0when x=2 nd y=l 6. yd-xy=y*ty

A:

Q: 5(u-) du 2. 2

A:

Q: 9)-25x-y + 30х*ys -5x'y

A: Given-25x4y3+30x2y5-5x2y

Q: [cot$ 2xdx -cot³ 2x, cot³ 2x cot 2x 10 6 2 --x+C

A:

Q: -3 • Determinant of N = 1 -2. 1. -5 7 3. 5 4. -7 2.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3) S = 1 16+4x² dx

A: Introduction An integral which is not having any upper and lower limit is known as an indefinite…

Q: (x– 3) - ? = ? 5. For x2 # 9, x' -9

A: Given Data: Expression: x-32x2-9 Condition: x2≠9

Q: 12) A(2, 1), B(-1,0), C(5, -3), DI-2, -1) ➜ -AR-3CD = 2

A:

Q: 2. Show that 1 2 = (1 - )( - )(? y)

A:

Q: 9. If 4x(y+2) ソー3 O J6 4x(y+2) – 2x, y # 3 or -2, and x #0,2= ソ-3 y+2 A) B) C) 2 1/8112 28

A:

Q: Ifa' = (-5,1,2) and b' (-1,–2,4)and, find a – 3b.

A:

Q: y = 16 - x2 8. y 3- -4 -2 -1 2) 2.

A:

Q: ) g)=マーSr -2-Sr g(カー

A: solution

Q: Ify = 5+5 In x - 2e" dx 5. -2e" O a) 5 + O b) 5 In(1) - 2e O) 5 2xe-1 d) 5 2e" Oe) 5 + 66

A: Given y=5+5*lnx-2*ex so differentiation of y is dy/dx

Q: 3 (x²-2y+xz) dydzdx = 0. -2 1

A: see 2nd step

Q: 3) 4x + y = 7 A) (4, 5) C) (3,-5) B) (-4,-5) D) (5, 4)

A:

Q: \45° 30 y = :: 18 : 9/3 9/6 2 9/6 3 :: 9 :: 9/6 L - - -ר ::

A:

Q: xy = 9, y"' at x = 1, y = 9

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative

Q: 1) x'+ 64 - 0 2) x* - 7x + 12 - 0

A: We have to factorize the given expressions. 1. x3+642. x4-7x2+12=0

Q: Eliminate the arbirtray constants

A:

Q: 2. mzR+ mS+ mzT= 105° +x= +x = 42 X =

A: We have the given figure as

Q: f2ox²-40x+3 x'- 2x Evaluate.

A: Topic:- integration

Q: 3.y" + 6y + 8y Pros Зе 2х + 2x

A: Let's solve given diffrential equation.

Q: Solve for x. 6. 6x-1 *+3

A: