1- is The differential of u= In 1+ t2 (A du = tª – 1 lot 2t at В du = none of the given choices D 2 at du = (E -2t at du =

Q: 1-t2 is 1+t2 The differential of u= In 2 |dt t4 – 1 A du = 2t В du = |dt t4 – 1 (c) none of the…

A: Given query is to find the differential of the expression.

Q: Solve the following differential equation using LaPlace transforms d²y + 4 dt² dy dy + 4 y = 0 dt…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Find the general solution to the following Cauchy-Euler differential equation x2y" +27xy'+ 169y = 0.…

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Q: Consider the following linear oredinary differential equations, 1s+ kıl35-x) +kaly-x) at dy = ka…

A: The following steps are used to obtain the general solution of the linear nonhomogeneous system…

Q: 10. Which of the following differential equation(s) is/are NOT applicable for the method of Laplace…

A: The correct option is option (C) I and III  The detailed solution is as follows below:

Q: The differential equation obtained by eliminating the arbitrary constants A and 7x B from the…

A: Given that y = Ae^4x + Be^7x

Q: Q1/ Determine a complete solution of the following system of the WARITH AL-AN differential solution…

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Q: Which of the following gives the expression y' , when a suitable transformation is applied to the…

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Q: 3. Consider the following system of ordinary differential equations: dr ur - y+ ry, !! dt dy = r+ py…

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Q: The D-operator in y +4y +9y te' is te 14 3e 98 O underdamped and the particular integral of the…

A: We have the formula for PI of exponential function.

Q: 3. y" – 2y' + 10y = e-* sin 9x , y(0) = y'(0) = 0 %3D

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Q: 5. The following linear differential equation models the charge on the capacitor, q(t), at time t in…

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Q: 3. Solve the following differential equations using Laplace transforms: 1 dx d²x dx +4 dt² dt +4x=t²…

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Q: Solve the following partial differential equations (b) uzy = 4e" cos 2r, given that at y = 0, = cos…

A: As per our guidelines,we are suppose to answer only 1 question. Please repost the rest of the…

Q: Find the differential equation of the following function (х +3у — 4) dx + (x + 4y — 5)dу %3D 0 а. у…

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Q: Evaluate the characteristic w" + k ² x ²³w = 0 value of k in the following differential equation w…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Prove that by starting with = N(r, y), you can obtain the following equations: f(1, y) = | N(r,y) dy…

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Q: solve the homogene differential equations of the following first order. specify the domain. (1) y…

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Q: By assuming that u(x, y,t) has the product form u(x, y, t) = 4(x+ Vt)ø(x – Vt)Y9y), separate the…

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Q: Determine which of the following differential equation is linear O +5 + 2y² = e3= %3D + 5y +2y = 0…

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Q: 1-t2 is 1+t2 The differential of u= In. -2t (A) du= dt t4 – 1 2t |dt t4 –1) B) du = © a- 2 dt t4 –…

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Q: Find the differential equation of the following function (x – 3y + 2)dx + 3(x+ 3y – 4)dy = 0 x-1 a.…

A: The given differential equation is x-3y+2dx+3x+3y-4dy=0.....(1) We shall solve the differential…

Q: 1-t2 is 1+ t2 The differential of u= In. 2t dt t4 – 1 A du = O a-( -2t dt t4 - 1 B du = © av-(* c)…

A: Explained below

Q: Solve the following differential equations d²x +12dy +6x = 0 dt? dt? d x d?y 5- +16 +6y=0 dt? dt? by…

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Q: What is the differential equation obtained by eliminating the parameter A from the 28 relation y = A…

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Q: Solve the following partial differential equations. az = z + x? ay az (x + y²)+ y ax

A: Given, x+y2∂z∂x+y∂z∂y=z+x2---1 Lagrange's auxiliary equations will be dxx+y2=dyy=dzz+x2---2

Q: Find the differential equation of the following function (х %3D Зу — 4)dx + (x + 4y— 5)dy %3D 0 а. у…

A: Let's find.

Q: Which of the following is the seperable differential equation form obtained when the transformation=…

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Q: H.W. Solve the following differential equations by using Laplace transformations: 1. y" – 3y' + 2y =…

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Q: 1-t2 is 1+ t2 The differential of u=In, 2t dt tA – 1 A du= B du=| dt =(_2t dt t4 – 1 D) none of the…

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Q: 3- Solve the following differential equations by Laplace transform (a) x + 2x = 0 ,x(0) = 1.5 (b) x/…

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Q: Is the differential equation dy +x2 + x³y = e* d²y %3D dx2 dx P.D.E , non Linear , 1st order and 2nd…

A: Given: d2ydx2+x2 dydx+x3y=exTo find given eqution is ODE and PDE

Q: dell t u(at,at) =0 tE (-e,*) e

A: According to our company policy, we are supposed to answer only one question at a time. For the rest…

Q: 9-20 Compute the differential dz or dw of the function.I 2y 10. z = ey 18. w = 4x²y'z? - 3xy +z +5

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Q: 1- t2 is The differential of u=In, 1+t2 -2t |dt t4 – 1 A du = 2t |dt t4 – 1 B) du = none of the…

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Q: Find the smallest-order differential equation provided by the y=c 1 e 9x + C 2 e 7* + C 3 curve…

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Q: 3. Which of the following differential equations are homogeneous I) +1+ 2xyy = 0 ID +y'dr + ydy = 0…

A: Given differential equations can be written as below: I. dydx=-x2-12xy II. dydx=-x2+y2y  III.…

Q: The equation of the form M(x, y)dx + N(x, y)dy = 0 to be exact differential equation if ÔM a) ÔM b)…

A: First it's necessary to make sure that the differential equation is exact using the test for…

Q: 4. (a) Verify u(x, t) = e-,rE R',t> 0 satisfies the following partial differential equation: %3D…

A: A scalar function f(x,t) is a rule that is used to associate a number or quantity with a particular…

Q: Solve the following two differential equations for x1(t) and x2(t) by means o Laplace transform.…

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Q: ?Which of the following differential equations is separable t- Jy +e 24 O y' = e2t -3y +e 3y et-3y…

A: Consider the provided question, According to you we need to solve only second question. we have to…

Q: 1-1? is 1+t2 The differential of u= In, A) 2 at du= 2t dt du=-1 B -2t dt -1 du = du = E none of the…

A: We have to find u'  u=ln √(1-t^2)/(1+t^2)

Q: 5- Write the following differential equation y"(t) – 8y"(t) – 9y(t) = 0 as a first order system. %3D…

A: We have to write the following differential equation as a first-order system.

Q: The following Partial differential equation: a²u - 2 a2u a?u, du -6- дхду ду? дх ду + Su = 0 is…

A: Given problem based on classification of second order semi linear partial differential equation.

Q: Solve the following Cauchy-Euler differential equation: 8 y(z) + 2 z2y(a) + 6z음y(e)=0 Select one: C,…

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Q: Express the following differential equation y"(t) – 2y"(t) – 3y(t) = 0 in a matrix system in normal…

A: Given a differential equation,

Q: Find the differential equation of the following function (x +3y – 4)dx + (x + 4y – 5)dy = 0 а. у — 1…

A: Let's find.

Q: 3. Solve the following differential equations using Laplace transforms: d³x d²x dx + + dx d²x b. +x=…

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Q: Find the differential equation of the following function (х — Зу — 4)dx + (х + 4у — 5)dy — 0 а. у —…

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