Is the equation separable, linear, bernoulli, or homogenous? dy а. dx x4 + 4xy² 2x3 + x²y +y³ b. (e"cos(x))y' = x4 + 6x²y³ ,3 C. y' = '+yr³ x + x2 cos()

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Q: S(;+ sin(x) – Vx²) dx

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Q: Ex6: Solve the following 1. If x? + y² = 25 show that (y')² + yy" + 1 = 0 2. If xy = sin x show that…

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

Q: Show that Y + y = 0_given that y=2 sin x + 3 cos X y"

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Use the method of undetermined coefficients to solve y" – 2y' + y = 5 cos(2x) + 10 sin(2x)

A: Solve the differential equation y"-2y'+y=5cos2x+10sin2x using the undetermined coefficients .

Q: Obtain general solution of ODE y''-y=exp(x) + cos(2x)

A: Step 1. Homogeneous Solution (y_h):We start by assuming the solution for the homogeneous equation…

Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

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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.