MTH232 Tma Solutions

MTH232

Question: Which of the following is not a possibility for a not linear differential equation?
Answer: Cote-linear

Question: Which of the following is not a form of first-order differential equations
Answer: Jacobi’s equations

Question: Determine the solution of the equation \\(ydx+(3x-xy+2)dy=0\\)
Answer: \\(xyA3=2yA3+4y+4+ceAy\\)

Question: An expression of the form \\ (\\frac{\\partial x}{\\partial y} is called
Answer: Partial derivative

Question: Solve \\((xA2+yA2 )dx-2xydy=0\\)
Answer: \\(xA2-yA2=cx\\)

Question: Solve the differential equation W (\\frac{dyKdx}=5xA2\\)
Answer: \\(y=\\frac{2}{5} xA3+c\\)

Question: An equation involving one (or more) dependent variable derivatives with respect to one or more independent variables is called
Answer: Differential equation

Question: The‭ ‬of a differential equation is the highest exponent of the highest order derivative appearing in it after equation has been expressed in the form free radicals and any fractional power of derivatives.
Answer: Degree

Question: nth order solution of a differential equation with n arbitrary constant is called?
Answer: General solution

Question: A differential equation with an initial conditions is called?
Answer: Initial value problem

Question: Solve \\((xA2+yA2 )dx-2xydy=0\\)
Answer: [A] \\(xA2-yA2=cx\\)

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