NAME (LAST 1)SOLVE THE IVP: g'= 3y, yl0)=1 2) SOLVE y'= 4 xy

Q: y = (2y^4 + 2x)y' How can I solve it?

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Q: An RC circuit with a 100 Q resister and a 10^(-2) F capacitor is driven by a voltage…

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Q: Solve as required : Given : Z = 3x?y³ – 4x*y? From the given, solve the following: Əxðy dx²Əy 2. 1.

A: It is given that, z=3x2y3-4x4y2. 1. Find ∂2z∂x∂y as follows.…

Q: Solve homogenous equation y'''' - 2y'' - 3y' - 2y = 0

A: Find the auxiliary equation and solve that

Q: y6) + 25 y" = 0 p(6)

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Q: The growth rate of a certain bacteria is known to ve proportional to the amount present. 5000…

A: We have to use P=Poektwhere: P = population Po = initial population k = proportionality constant t =…

Q: Solve  y'' - 81y = 0

A: You can solve by finding auxiliary equation

Q: solve using variation of parameters: x''-6x'+9x=e^(3t)/t^2

A: The order of the differential equation is the highest order derivative present in the equation. The…

Q: 94X080 Solve (y2exy² + 4x √x + (2xyexy - 3y²)dy = 0

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Q: Linearize the non-linear equation: 1. y=c+ax^n

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Q: 3. Solve -4 -2 X' = 3 X+ -Se -11 -2

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Q: Solve by variation parameter methods y"+y=xcos^3x

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Q: Solve in terms of t, u"""" + u"""' = 0.

A: Given the differential equation is u"""" + u"""' = 0.  Here the auxiliary equation is r8  + r7 = 0.

Q: Solve the particular solution: Answer both. 1. 2y''+y'=3

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

Q: Solve (2x^2y +y)dx+xdy =0

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Q: solve 9'' + 9y = 0

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Q: Solve for u. (u-6)^(2)=2u^(2)-15u+26 If there is more than one solution, sepa

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Q: dx² 1 R=0 니

A: Given ODE R''-14R=0

Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

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Q: Solve the homogenous equation (y +(x^2 + y^2)^1/2)dx−xdy = 0

A: According to the given information, it is required to solve the given homogeneous differential…

Q: (1/y)+(6/y^2−100)−(3/y^2−10y)   how do i find the LCD then solve?

A: First we factor y^2-100= y^2-10^2= (y+10)(y-10) [used a^2 - b^2=(a+b)(a-b) formula]

Q: solve     y'' - y' - 4y = e6x

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Q: Find the solution of: (D^2 −4)y=8e^2x−12

A: solution is given below

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.