What is the solution of the y'''-(y'')3=0 You can find given options at the attachment. Thanks for your help.

Q: Z4 =:₂₁ (4x²yz - dz dy dx S₁

A: Given ∫23∫-14∫104x2yz-z44dz dy dx ∫23∫-14∫104x2yz-z44dz dy dx=∫23∫-14∫104x2yz dz dy dx -…

Q: 4. (у- 2ку + 6x) dx - (x?- 2ху + 2) dy -0

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Q: For what value of x will the curve y = x3 – 3x2 + 4 be concave upward?

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Q: SOLVE USING INTEGRATING FACTOR (2y² – 3x²) d x + (2x² – x y) dy = 0; y (1) = 1 9.

A: Let's find.

Q: Find the general solution for the equation below by using vaiation of parameters method. y"+y=1/x…

A: We have to find the general solution of the differential equation by using a variation of parameter…

Q: Solve for the DE: 3x² ydx + (y+x³)dy= 0 ; y(1) = 1

A: The differential equation Mdx+Ndy=0 is said to be exact. If ∂M∂y=∂N∂x. The solution of the…

Q: Find integrating factor of the equation (x4+y4)dx-xy3dy=0

A: The given equation can be rewritten as   xy3dydx=x4+y4    ∴y3dydx-y4x=x3     Let y4=t…

Q: Find general solution of: 2x ( y - x^2) dx + dy = 0

A: Topic:- solution of differential equations

Q: Solve for separable equation xy +5y + 2x + 10 2xy - 10y -x +5 6. 2x + 3 -dy = 0 y - 6

A: The given differential equation is: xy+5y+2x+102x+3dx+2xy-10y-x+5y-6dy=0 To solve the differential…

Q: solve using non-exact (x+4y3)dy - ydx = 0

A: Solving the non exact differential equation

Q: Find the particular solution for (2y3 – x³) dx + 3xy² dy = 0 when x = 1, y = 1

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Q: Find the solution of (x² – xy – y²) dx + xydy = 0 -- -

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Q: dx ex -1

A: Let ex=t ⇒exdx=dt    dx=dtex          =dtt

Q: -2x y" + (e by = 0 (e-* = z) -

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Q: S(y* - y-3)dy

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Q: of the differential equati

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Q: Use variation of parameters to find the general solution: x^2y''+xy'-y = ln (x)

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Q: The number of customers in a store is modeled by the function P that satisfies the logistical…

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Q: d’y - 2 y = 5x' + In(x²). dx

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Q: Choose the solution value of x'' + w2x = fsinwt with initial conditions x(0) = 0 and x'(0) = 0

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Q: 3) For an ideal gas, the pressure is related to temperature and volume by the formula 8.31T V . If…

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Q: Solve the problem by using Exact DE 3 1. (2 x³ x y² - 2y + 3) dx − (x² y + 2 x) dy = 0

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Q: Based on historical data for population growth rates and the initial number of eagles present in a…

A: Topic-basic maths

Q: Find the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: Given: dydx=5x3+x2-2; y=1 when x=0

Q: Integrate x2 e a) S- 2x -d.x 2 b) S- -

A: By using integration property, we calculate the following Integral.

Q: dx - My- dy -5+e

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Q: Zx+1 8) I = - dx 7-7x+12

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Q: Find the particular solution from y(9x-2y)dx-x(6x-y)dy=0  when x=1/3 and y=5/2.

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Q: 9. Find the General and Particular solution of = 4y ; y= 3,when x dx

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Q: (d) The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash drive is given…

A: Given that : Marginal Cost Function is : dCdx=-0.02x+6. We can achieve Total cost function by…

Q: What are the order and degree of the differential equation representing the family of parabolas y2 =…

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Q: Graph the function that shows the solution of the initial value problem dy/dx = 4x, y=8 when x=1.…

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Q: dy/dx = 2x3,    y(0) = 3 y =

A: Given Data:   Solve the differential equation,

Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: 2 4. S dy 1 y +y° - 3

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Q: Solve for the general solution of equation (4), d²X + B²X(x) = 0 dx? Express the general solution in…

A: This is a problem of IV.

Q: 6.) y' + (4/x) y- (x')ly) =0

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Q: By differentiating x² – y² = 1 implicitly, show that d²y | dx² ||

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Q: 4) For an ideal gas, the pressure is related to temperature and volume by the formula 8.317 P = If…

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Q: What integrating factor should be used to find the solution of the equation ydx + (xy + x- 3y) dy =…

A: Given that: ydx+(xy+x-3y)dy=0

Q: Evaluate the integrals

A: Consider the given integral, ∫02∫-4-y24-y2∫02x+ydz dx dy integrate with the given order of the…

Q: What is the initial condition at x = 0 of the solution plotted on graph c)?

A: From the given graph in part (c), it can be seen that the graph crosses x-axis when its x-value is 0…

Q: What is the solution of (x2+2xy-4y2)dx - (x2- 8xy - 4y2)dy = 0?

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Q: y' = y° In(x)-2;y(1)=1

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Q: which 20 grams of salt is dissolved. Pure water is being pumped into the tank at a rate of 5…

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Q: 5) SOLVE dy _ yz %3D x2

A: A differential equation is an equation in x,y and derivatives of y. An ordinary differential…

Q: -3 -2 ²₁ ² [z³(x + y)³] dz dy dx

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Q: Q1) Solve given differential equation using a variation of parameter method y" – y = 212 – t- 3

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.