The orthogonal trajectories of :y = 6ax is , where a is arbitrary constant O y? + x² = 6 y? + x2 2c y? + x² 2c x2 y? + 2 4c %3D

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Q: 1. Using Linear Approximation, determine the approximate value of the following: Final answers must…

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Q: For the family x² + 3y2 = c, find that member of the orthogonal trajectories which passes through…

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Q: Test V. Solve for IVP. d²p{t) 1. +4 dp(t) + 4 p(t) = 2e¬t; p(0) = 0; p'(0) = 0 %3D dt² dt %3D

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Q: The orthogonal trajectories of :Y 6ax is , where a is arbitrary constant y? + x² = 6 + x2 = 2c 2 y?…

A: Given function is y = 6ax, a is the arbitrary constant. We have to find the orthogonal trajectories…

Q: Find the orthogonal trajectories of the family of x² – y² = A. y? = x² + c B. xy = c C. y(6x² – y²)…

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Q: / Find the value of the Constant a& b such thet X > 2 fex)=} ax +b iif fer) is Continuny 3 bx - 2, x…

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Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

A: Consider the given equation. y'=xy2-yx and y1=1 We have to find the value y1.5. Now, find the…

Q: a) Find the general solution for UTM dy TM dy +2- dr? dr (1+f) UTM (77 +1)xz² = fip +

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Q: For the family x² + 3y² = c, find that member of the orthogonal trajectories which passes through…

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Q: -2x 7. u +u =u, u(x,0)= 2156e " probleminin çözümünü u (x, y) = f (x)g(y) şeklinde arayarak bulunuz.

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Q: I Applications | Golve por the or tho gonal trajectories y?=4x² (1- cx)

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Q: Find the solution using Variation of parameter. (D2 – 1)y= e* + 1 1 y= Cje* + C2€¯X+ xe* – e* – 1 1…

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Q: he auxiliary (charasteristic) equation of the DE x²y" + xy' – y = 0 is m? - 2m +1=0 m2 - 1 = 0 m2 +…

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Q: The orthogonal trajectories of the family of curves r = f(0) is solve by using the following…

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Q: The orthogonal trajectories of the family of curves y= cx2 is A x=ky? B x? +2y? =k © x2 = ky? D…

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Q: The orthogonal trajectories of the family of curves y = cx2 is A x=ky? B x²=ky² © 2x2+y²=k D…

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Q: Find values of m so that the function y = e"™x is a solution of the given D а) y' + 2y = 0 b) y" –…

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Q: 7x The orthogonal trajectories of y = ce'",where c is arbitrary constant. is 2x + 2C = 7y? O -2x +…

A: Given,  y = c e^(7x)    y e^(-7x) = c then get the derivative   dy/dx e^-7x + y {-7 e^(-7x)} = 0…

Q: SOWE FOR THE ORTHO GON AL TRAJECTORIES y² = 4x² (1-ex)

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Q: The family of curves is given by the equation y = Inx". The orthogonal trajectories for these curves…

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Q: The orthogonal trajectories of the family of curves y= cx² is A x=ky? B 2x2+y2 = k © x2 = ky? x2…

A: The given family of curve y=cx2

Q: Use the method of separation of variables to solve: - = 0 in (0,1)×(0,+∞), at? ôx (1) u(0,t) = u(1,…

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Q: 2: Find the orthogonal trajectories of xy=C.

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Q: The orthogonal trajectories of the family of curves r = f(0) is solve by using the following…

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Q: • 3. Use variation of parameters and use the formula, to find a particular solution of t°y" -t (t+2)…

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Q: Determine the orthogonal trajectories for x2 = ky³. A) 2x2 + 3y2 = c C) 2x2 – 3y? = C - D1.2

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Q: Use the method of variation of parameters to solve the following y + 4y + 4y e- In z, z>0

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Q: 1. Test IlI. Solve the sys: fx-y%3D2 y = 1. x+y=7 1o the foll

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Q: y=Ax^3 + (C1)x + C2 is the general solution of the DEQ: y''=80x. Determine A. Is the DEQ separable,…

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Q: The orthogonal trajectories of y 4az is , where a is arbitrary constant O + = 2c %3D = 4c 2 O y+a -…

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Q: The orthogonal trajectories of the family of curves r = f(0) is solve by using the following…

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Q: A body of mass M1 has 1/4 times the linear momemtum of M2 if M2 has three times the mass of M1, what…

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Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

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Q: The orthogonal trajectories of y = 9ax is where a is an arbitrary constant y + = 4c 2 Oy +x2 = 9 O…

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Q: The orthogonal trajectories of a + 9 is where a being r = parameter.

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Q: The orthogonal trajectories of y = 6ax is , where a is an arbitrary constant y? + 22 = 2c + x? = 2c…

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Q: Give the family of orthogonal trajectories of the family of parabolas with vertical axis and vertex…

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Q: The orthogonal trajectories of y = ce5" where c is arbitrary constant. is - 2x + 2C = 5y? 2x + 2C =…

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Q: Q-1 Find the orthogonal trajectories of y = ea" where a be the arbitrary constant. [

A: Given curve is y=eax

Q: Finding the orthogonal trajectories of y? = x² (1 – cx)

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Q: 9. Find the orthogonal trajectories to the following families of curves: x = ke¯v, where k is a…

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Q: Do 2 steps using the improved Euler method. Solve the problem exactly. Compute the error. y = 2(1+…

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Q: The orthogonal trajectories of the family of curves y= cx² is A x² = ky? x² +2y² =k В © x=ky? D 2x2+…

A: In this question we have to find the orthogonal trajectories of the family of the curves y=cx2

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.