4. The graph of y = −2√x + 4 is translated 3 units to the left. State the defining equation of the new graph.

Q: 4. Find all functions that solve the differential equations. (a) x' = te-2t (b) x' = 1/(tlnt). (c)…

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Q: 1. If x²y-xy² + x² + y² = 0 find y'.

A: NOTE: As per our guidelines, I have solved the first problem. If u want the answer of other, kindly…

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A: Given: 645  036  00-4

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A: Ans=(d) 0.57 For detail go through the solution I have solved step by step in detail

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A: Solution is given below:

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Q: Q5: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Given the differential equation is y''-5y'+6y = x2e-2x

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Q: question 7. x + 128x + 96x = 0 answer 7. x = C₁e(-64+20√10)t + C₂e(-64-20√10)t

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A: We can solve it by the help of augmented matrix.

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A: Solve the following