The solution of ODE 5y' + xy = x2 +5

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

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Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION 3. (x + 3)cos ydx - [siny In(5x + 15) - y] dy = 0

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Q: Solve the partial differential differential by separation of variables 70z + 6 = 0.

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Q: (5) Find the particular solution passing through the point (1,8) How does this solution behave as t…

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Q: Find a homogeneous linear differential equation wit Gcosh 2x coc E 2x cin 5

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Q: If auxiliary equation of a differential equation of order 8 has 3 distinct roots, then a fundamental…

A: The objective of the question is choose the correct option.

Q: dN₁ dt dN₂ dt 5N₁ 1 N₁ 20 N₂ 17 9N₂ 1-- N₂ 20 N₁ 17 1.6- 0.6-

A: This is a question of the equlibrium of the system.

Q: dy/(3x2) = (1 + y²)1.5 dx.

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Q: Solve by Bernoulli ODE and Integrating Factor: y' = y2+ 3y cotx

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Q: a particular solution that satisfies the differential equation F'(x)=3x^2 +2x -1 and the inital

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Q: n. ²u

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Q: verify that the given equation is a solution of the differential equation.(elimination of Arbitrary…

A: The solution is given as  y=-cos(x) ln(sec(x)+tan(x))                   (1) Differentiate equation…

Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y = "

A: The given differential equation is solved below in detail.

Q: Sec-S 2 1 TanOLO

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Q: Obtain a differential equation associated with the primitive Ax^2+By^3=9

A: Differential equation is obtained by eliminating the constants A and B from the primitive equation.…

Q: sec Vn du in

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Q: Write in your words about some of the applications of the partial differential equations With…

A: Given :- some of the applications of the partial differential equations

Q: Solve the differential equations using method of undetermined coefficient у"*у 3 х^2sin(2x)

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Q: What is the c value obtained for the special solution of the equation under the initial condition y…

A: Here we have to find constant of integration c.

Q: 6. Show that 2y2 dy x² + y2 dx is homogenous equations. Hence, solve the equation.

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Q: uxiliary equation of + by = 0 are re tion of the different

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Q: Eliminate the arbitrary constants from z= (x-a)^2 + ( y- b)^2 to form the partial differential…

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Q: Form the partial differential equation from z ax + by + ab by eliminating the constants

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Q: Solve x - cos(x) = 0 by Secant method. Use x-1 = 0.5 and xo = 1.0 as the initial estimates. %3D

A: We will find roots till 4 digit repeat

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

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Q: Differential equation in Q3(a) is added with 4e* and 10e* as Y, =6y, + y; +4e* Y, =5y, +2y; +10e"…

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Q: The differential equation 4y"- siny y' + 3y = O is a linear equation. :Select one True False

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Q: Use the hyperbolic identity cosh(2x)= 2 cosh2 (x)-1 to solve 4 cosh(2x)– 22 cosh(x)+ 19 = 0 .

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Q: Form the partial differential equation by eliminating arbitrary function from z=exf(x−y)z=exf(x−y)

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Q: Solve the partial differential equation of Lagrange's form  xy2p-y3q=-axz.

A: P p+ Q q=R z We solve partial differential equation by method of Lagrange's multiplier The…

Q: Solve for the differential equations and get the general solution. Simplify your answer free from…

A: The given differential equation is dy=tanxtanydx

Q: Find the general solution of the ODE.

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Q: What is the solution of the partial differential equation X

A: x∂z∂x+y∂z∂x=z is first order partial differential equation. For solution we use Lagrange's method…

Q: Obtain the differential equation of all straight lines with alebraic sum of the intercepts fixed as…

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Q: Solve the nonhomogeneous ODE by variation of parameters. ODE: y" + 4y = cosh 2x

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Q: Find the differential equation of All parabolas whose axis is parallel to the y-axis. Draw at least…

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Q: Find a homogeneous linear differential equation with constant coefficient whose general solution is…

A: Given the solution of a homogeneous linear differential equation with constant coefficient. That is,…

Q: Find the differential equation using elimination of arbitrary constants

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Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: Classify the partial differential equation +34 = sin(3x + 4y).

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Q: Obtain the differential equation of the family of curves as described. Draw some representative…

A: Here first we write one parameter family of given curve and then we use differentiation to eliminate…

Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

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Q: The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable…

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Q: find all solution of z   sinh(2z)=-1

A: Consider the provided equation, sinh2z=-1 Find all solution of z. Apply the trigonometric…