(t/E² + y² – y)dt + (vVE? + y? – t)dy = -

Q: dy If y = (t + 6t + 4) (3t2 + 4), find dt dy %3D dt

A: it is required to find the derivative.

Q: dy +y = sin (;) cos t, %3D dt2

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Q: 1. Solve the DE as follows: d'y dy +3. +2y = 24 y(0) = 10 and y'(0) =0 dt? dt

A: Note :-  As per our guidelines , we will solve only first question for you. If you want any specific…

Q: dy 4. dz at z = - 4 if y = 3x² – 1 and dt Find dt dz dt

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Q: d²y dy dt + 81y = 0, y(0) = 9, y' (0) = 3 + 18- %3D %3D dt?

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Q: at (x, y) = (1, 2) and z? = x2 + y² if dt dx = 4 and dt dy = 3. dt dz %3D %3D Find dz dt II

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Q: d'y dt? dy - +6y = 21° –t +3 ; y(0)=1, dy -(0) = 2 dt -5 %3| dt

A: At first, we have to find the complete primitive (C.F.) and then we find the particular integral…

Q: 2 dy = t(i+t=) sec>x dt

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Q: Find dz/dt where z = 2xy - x² y² and x = 2t, y = t² at t=1

A: I have solved the problem with two methods.Final solution is in the box.

Q: dy The solution of (1 + y?) + (t – elan-ty Y = 0 is: %3D dt Select one: a. 1 t = etan-ly e2tan-ly O…

A: We have to choose the correct answer from the given condition according to the given condition

Q: Solve the following initial value problems using Laplace Transforms:

A: a.) The given initial value problem is,

Q: da dy 3x? – 1 and dt Find at z = 1 if y = at x = -5. dt da dt

A: topic - derivative of a function

Q: dy If y (t+ 2t + 6) (7t + 6), r find dt dy dt

A: Given  y=t2+2t+67t2+6y=7t4+6t2+14t3+12t+42t2+36y=7t4+14t3+48t2+12t+36

Q: Find the differential dy. (a) y = xV7-x dy (b) y = (1+x) dy

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Q: y? what is dt/dy? 2y +1 if t =

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Q: L{t}(s) = / t dt te -at %3D

A: Here we use integration by parts.

Q: d²y Find the solution to the IVP dt2 dy + y = 0 where y(0) = – 2, dy (0) = 5. dt y(t) = Preview

A: Steps are follows . Auxiliary equation and solution of the equation . General solution . And values…

Q: dy da at z = – 5 if y = 3x° + 3x and dt = - 1. dt Find - dy dt Submit Question P Type here to search

A: Differentiate wrt  t

Q: dy Sølve +y = 0, under the conditions that y= 1, dy 0. when t = 0. dt %3D

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Q: b- dy +2y=0; y=1 at t=0, y(0)=1 dt

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Q: Using d²y(t) dy(t) + t dt + 2y(t) = 0, and y(0) = 0 and y' (0) = 1. t dt?

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Q: - (t/z? + y² – y) at dt + (y/t² – y² – t) dy = 0; when t 3,y = 4

A: Answer is  ty=3(t2+y2)3/2-363

Q: Find the differential dy. (a) y = xv10 – x %3D dy %3D (b) y = (1+ x) 6 dy

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Q: d²y z + y = e-2tsin(t) , y(0) = 0 and y (0) = 0 dt2

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Q: d²y dr +24 -52y=0; y(0)=; v'(0)= ; y'(0): dt Use Rod.uction ofE Ordor 3

A: Explanation of the solution is given below....

Q: F'ind the differential dy. (a) y = xv8 – x %3D dy =

A: we have to find

Q: dy at z = 5 if y = 5x² + 4 and dt dz Find 3. dt dy dt

A: Given y=5x2+4 -1and dxdt=3

Q: dw Find where w(x, y, z) = xyz + xy, with x(t) = e", y(t) = e¯24 and z(t) = e-9t dt

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Q: dz Find given: dt Z = xe?", * = t“, y = 5 + 6t dz dt %3D

A: Put value in terms of the then differenciate

Q: %3D y"(t) = 4y(t) – e-tU (t – 1), y(0) = y'(0) = 0.

A: Solution

Q: d?y + 4 + 4y(t) = 2e-tu(t) , y(0) = 3, y(0) = 0 dy dt2 dt

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Q: Check if y = sin(t)et is a solution to: d2y/dt2 + dy/dt = et[3cos(t) + sin(t)]

A: We need to check if y = sin(t)et is a solution to: d2y/dt2 + dy/dt = et[3cos(t) + sin(t)]. We have y…

Q: a)Let z = x?y – y² where x = t2 and y = 2t . Find dz/dt at t=1 using chain rule.

A: Given query is to find derivative is nge chain rule.

Q: dx T2 +2 and dt dy 2. Find at I = 2 if y = dt dy dt

A: Solve for dy/dt at x=2

Q: dy If y = (t + 5t + 6) (2t² + 4), find dt dy %3D dt Submit Question

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Q: Find the general solution for y(t) where; dy а. dt + 6t?y = 2t? dy b. + 10y = 0 dt

A: The given question has been solved in detail

Q: dz + et+z = 0 dt

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Q: d²y dt² d'y 11. + (cos t)- dt4 +y=e=tsin t

A: Given - d4ydt4+(cost)d2ydt2+y=e-tsint To determine whether the given differential equation is…

Q: dy Find dt y = (21+ et) In t dy %D dt (Type an exact answer.)

A: To find the derivative of following function

Q: Find dy/dt at t=9 given that y= (u+2)/(u-1), u= (3s-7)2 and s= √t

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Q: Find dz/dt dz/dt given:  z=xe2y, x=t6, y= -1+5t

A: Given,         z=xe2y    , x=t6     ,    y= -1+5tWe know that,            ∴dzdt=∂z∂x·dxdt+∂z∂y·dydt

Q: 2,d'y(0) = -2 dt? d'y(t) , dy(t) dy0) - + 3 dt = sec(t), y(0) = 2, dt %3D %3D dt

A: Answer

Q: O1f y= x 4x and x = Vzr?+I, find dy /dt when t r2. %3D

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Q: Given z = 3x'y + V5 cos 2y-2x, detemine the total differential o

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Q: Can you help me step by step?

A: The given function is

Q: dz Find given: dt z = xe²y, x = t³, y = - 5 + 6t dz dt ||

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Q: dy x2 + y2 if dx Find at (x, y) = (5, 6) and z? dz dt = 9 and = 7. dt dt dz dt Additional Materials

A: To determine the derivative.

Q: Please show all work

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Q: dz 2) Find if z = xy² + x?y, y = ln x %3D dt

A: