7. What is the order, degree and linearity of: (dy + 3x dx, d°x = ey dx3 8. What is the order, degree and linearity of (岛- - y³ = 3x dx

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Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

Q: Use the Euler method with dx = 0.5 to estimate y(5) if y' = y2/√x and y(1) = -1.  What is the exact…

A: In the given question, it is asked to solve a differential equation using Euler’s method.

Q: dx ylnx- dy y + 1₂ X 2

A: given :ylnxdxdy=y+1x2

Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

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Q: 3. (16x + 5y)dx + (3x + y)dy = 0 1 (Cos 2y - 3x²y²)dx + (cos 2y - 2x sin 2y - 2x'y)dy 0 the

A: In the given question we have to find the solution of the differential equation 1.…

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Q: 1- Evaluate: 2y sinx dy dx อน 2- If u = x² + ey², x = sin 2t , y = cost² find Ət

A: Above question is solved.

Q: . Find P.S. of (16x +5y) dx + (3x+y) dy = 0 of the curre to pass thru the point (1,-3) 2. Find P.S.…

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Q: 11) (3ycos(3x)dx– sin(3x)dy)/ y = 0 12) sin(ß y)dx =-ß cos(B y)dy

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Q: 7,9,-4) y dx +x dy +3 dz = (5,4,1)

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Q: Approximate - -1x+3 -dx using trapezoidal rule with n=4 and Simpson's rule with n=4.

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Q: Use a suitable method  to find the solution of (1-x^2)(1-y)dx=xy(1+y)dy

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Q: dy - x X, y(0) = -4 dx Need Help? Watch It

A: using variable separable and then integrate both side...

Q: 4- Find dy/dx for: d- y = /1+ sin³ (x5) e- y = 2(Va – 1)( f- y = cos³{sin(2x*)} x-2 x²+3x' %3D

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Q: 7 xsiny dx + Cx²+1)cosy dy = 0, yC)=TT/2

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Q: Use the Euler method with dx = 0.2 to estimate y(2) if y' = y/x and y(1) = 2.  What is the exact…

A: Given: dx=0.2 y'=yx and y(1)=2

Q: Find dy/dx at the given point. 7x2y4=9-x2-9y  at (0,1)

A: Given: 7x2y4=9-x2-9y We have to find the dydx at (0,1)

Q: 4 I. dx3, (d³y\ dy + 2- dx = sin x *+ O) + = In y. 3 II. dx dx dx d³y III. dx3 d²y , dy -2 + dx2 = x…

A: To identify which of the given differential equation is linear.

Q: Find the particular solution for the given separable equation when y(0) = 3. 1 dy = ysin(2x) 1? dx

A: To find the particular solution for the given separable equation when y(0)=3

Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

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Q: S csc“(3y)dy

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Q: 2(1-z) Evaluate S-" ==-2) dy dx dz

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: Use the Euler method with dx = 0.2 to estimate y(1) if y' = y and y(0) = 1. What is the exact value…

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Q: Obtain the general solution using variation of parameter. (D² + 1)y= cotx

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Q: 7. 2r tan y dx + sec² y dy = 0

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Q: Compute dy/dx at P=(2,1) on the curve y^2x^3 + y^3x^4 - 10x + y = 5

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Q: dy 1.- dx ах — by bx — су

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Q: (1,2,3) (0,0,0) 4x³y dx + (x²-25) dy-5yzª dz

A: Find the value of function using integrate Compare the given expression with Mdx+Ndy+Pdz to obtain…

Q: 1 of 1 dy -3-9x, y'6)=8, dx² ylo)=2 %3D

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Q: 2Linear edluotion 5. dy dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: d?x 2 dt2 dx - 5- dt 3x = -9t2 – 1 - %3| - - dx When t = 0, x = 1, = 0, find x when t = 2 %3D - dy

A: The given differential equation is 2d2xdt2-5dxdt-3x=-9t2-1                   (1) to find x(2) with…

Q: Use the Euler method with dx = 0.5 to estimate y(5) if y′ = y2/sqrt(x) and y(1) =-1. What is the…

A: Consider the formula used in Euler’s method.Also summarize the given data in the question.

Q: #2. Show that the line integral (sin y dx + (x cos y – sin y) dy)

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Q: 8. Find dy/dx in terms of x and y using implicit differentiaton 5y 4 +x 2 = 9

A: Step for implicit differentiation: (1) Differentiate with respect to x (2) Collect all the…

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Q: 14. Evaluate 4y dx +3ax dy, where C is the trapezoid with vertices (0,0), (2,0), (6,2) and (0,2).

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Q: +15 - If y = cos-1(x) , Prove that dy -1 %3D dx /1-x²

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Q: Obtain the general solution to the equation. 3. dx - (у — 2ху)dy

A: Topic - differential Equation

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A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: 1) (2cos³xsin x – ysin x – 1)dx – cos x dy = 0 ; when y ) = 3v2

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Q: Solve for x = u + 1 and y = 2u² - 4u d²y dx² with respect to the parameter u

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Q: 4- Find dy/dx for y = 3(sin-(e-3x²))2 dy 3[(sin-{(e-3*)i* In3 2(sin-1(e-3**) - 3x2 1(-6x) dx V1-…

A: Differentiate term by term

Q: dy/dx=x2+3y2/2xy

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Q: *= 1+?-,y = -x²,x > 0 2. = x³(y – x)² +2, y1 = x,x > o у 1. %D = x³ (y – x)2 + dx , Υ1 - x, x > 0 dy…

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Q: 19. Sobve (1-x*)-+m*y=0 dy=m dx where x=0, y=0,

A: