Solve the differential equations below: -y=zy dr Choices: a y=-x+1+ce* a. b. y=-x+ce* yl=-x +ce* d. yl=x+1+ce* c.

Q: Which of the differential equation has order 3 and degree 2? option I: (d² dæ? dy + 2- dr - 3 = 5xy?…

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Q: (1 – x)y' = y² %3D

A: To Solve for the general solution of the following first order differential equations.

Q: y – 18y"'+ 81y'= 0

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Q: Solve the differential equation if possible, using an integrating factor if necessary. 7. (3ry+6y)dr…

A: We will find out the required general solution for given differential equation.

Q: * Solve the differential equations by variations of parameters e(a+1)x y" – (2+ a)y' + (a + 1)³y =…

A: Given differential equation, y''-60y'+593y=e59x1+x2 Take the homogeneous differential equation,…

Q: Solve the differential equation. 1 dy =ye* +2vy e* x dx Choose the correct answer. OA In (y+2) = et…

A: Using variable separable method.

Q: dP 17. = P – P dt

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Q: dy + y = ry dr

A: Given differential equation is xdydx+y=xy3 or xy'+y=xy3  First order Bernoulli Ordinary Differential…

Q: 1. Solve the ordinary differential equation, dy z+zy? dz

A: Let us solve the Ordinary differential equations in the next step.

Q: Solve the differential equation y' =7x - 4 y Using Runge-Kutt

A: Given,            y'=7x2-4y,   x=0.1, 0.2, 0.3,  . . . , 0.8

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b+ x) + 59.

A: y2=a(b-x)(b+x)+59

Q: Solve the differential equation 2x?y" + xy' - y = 0, y(1) = 9, y'(1) = 3. Then evaluate the…

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Q: Solve the differential equation by variation of parameters. 2y" - 4y' + 4y = e sec x y(x) = Need…

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Q: Solve the given differential equation by using an appropriate substitution. dr 3 (1 + 12) = 2tr (r -…

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Q: Solve the differential equation, subject to the given initial condition. dy + 4y = 5x²; y(2) = 21 y…

A: we need to solve the given initial value differentialequationxdydx+4y=5x2  ; y(2)=21The solution is…

Q: Solve the given differential equation by separation of variables: dy 5y dx Oy = cz %3D Oy = Oy = *…

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Q: y = y2 y = Yı)

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Q: Determine the degree of this differential equation: + ( - 3+y = 9 a²y ... dx3 dx2 dx None of the…

A: We know that dydx=y' and d2yd2x=y'' and so onThe given differential equation can be written as:…

Q: Solve the following differential equations. (a) y'= (1 -y). y(0) =3. (0) = 3.

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Q: Solve the differential equation e-y da (11) = ze" O e +z = C Oe lets) +7 = C O e +z = ( C O e-t-) +=

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Q: Solve the given differential equation. 16х?у" + 16ху' -у %3D0 y(x) = ,x > 0

A: CAUCHY EULER differential equation

Q: AIVTJT Solve the given differential equation by undetermined coefficients. y"- 4y' + 4y = 12x + 5…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Solve the differential equation by eliminating the arbitrary constants. Choose the right answer from…

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Q: Solve the given differential equation by separation of variables. e y = e-y + e-2x-y e*y %3D dx

A: We have to solve the following given differential equation by using the separation of variables…

Q: Determine whether the differential equation (5x + 7) + (5y – 5)y' = is exact. If it is exact, find…

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Q: Solve the Differential Equations by Inspection (40xy-21y*)dx– (35xy³-20x²+20x?y-14xy*)dy=D0

A: The given differential equation is: 40xy-21y4dx-35xy3-20x2+20x2y-14xy4dy=0   …* Here  M=40xy-21y4…

Q: Tx?+y?)dx + 3xydy

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Q: The degree of the differential equation (y") +y' – y = x is а. 2 с. 1 h no decree

A: We are asked to find the degree of the differential equation.

Q: Solve the Higher order differential Equations. (Choose one only) d*y d?y 4 + 4y = 0 dx2 1- dx4 d*y…

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Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b + x)+ 59.

A: Given that: y2=a(b-x)(b+x)+59

Q: Solve the given differential equation. (Hint: Bernoulli) y' + y = y?

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.) y'…

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Q: Solve the differential equation

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Q: y = cje* + cze²r y" -y – 2y = 0 O 2y " -y' – y = 0

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Q: solve the differential equation: (Pe²y – x)dx = 2e²y(e²y + Px)dy with explanation

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Q: The solution of a certain differential equation is of the form y(t) = aexp(2t) +bexp(4t), %3D hore a…

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Q: solve the differential equation and express final answer with the value of C (3x^2 +y^2) dx + 2xydy…

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Q: Solve the given differential equation by separation of variables. dP/dt = P - P^2

A: Solve the given differential equation by separation of variables. dP/dt = P - P^2

Q: Solve the differential equation dy + ry = a; y(0) = -6. dr

A: Given : dydx+xy=x   and  y(0)=-6. Therefore,    dydx+xy=x⇒dydx=x1-y⇒dy1-y=x.dx...............(1)

Q: Solve the differential equation 6x/1 - y? da – 5/1– x² dy = 0 %3D

A: Given: 6x √(1-y2) dx - 5√(1- x2) dy = 0

Q: Match the given differential equation with one or more of the solutions. (Select all that apply.) y'…

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Q: Solve the given differential equation by separation of variables: = 5y dz Oy = cr5 ) y = ¿xª +c Oy =…

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Q: yl" +25y = 20sin(5t) %3D

A: To differentiate

Q: Solve the differential equation: tydt + 2 (1² + 2y²) dy = 0 %3D

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Q: a) (æ² - 1)y = y² – 1, y1(x) = 1 1)y = y? -1, yı(x)

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

Q: Solve the differential equation below; e* y' = (x + 1) y?

A: This question is related to differential equation.

Q: Solve the given differential equation by using an appropriate substitution dy 3x+2y y (-1) = –1 dx…

A: The solution is given as

Q: solve the differential equation : y"+k?y=0

A: We will be solving y''+k2y=0. So,

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.