Problem 1MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 2MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 3MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 4MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 5MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 6MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 7MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 8MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 9MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 10MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 11MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 12MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 13MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 14MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 15MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 16MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 17MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 18MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 19MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 20MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 21MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 22MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 23MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 24MP: Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable,... Problem 25MP: In Problems 25 to 28, find a particular solution satisfying the given conditions. 3x2ydx+x3dy=0,y=2... Problem 26MP: In Problems 25 to 28, find a particular solution satisfying the given conditions. xyy=x2,y=6 when... Problem 27MP: In Problems 25 to 28, find a particular solution satisfying the given conditions. y+y6y=6,y=1,y=4... Problem 28MP: In Problems 25 to 28, find a particular solution satisfying the given conditions. yy+y2+4=0y=3,y=0... Problem 29MP: If 10kg of rock salt is placed in water, it dissolves at a rate proportional to the amount of salt... Problem 30MP: A mass m falls under gravity (force mg ) through a liquid whose viscosity is decreasing so that the... Problem 31MP: The acceleration of an electron in the electric field of a positively charged sphere is inversely... Problem 32MP: Suppose that the rate at which you work on a hot day is inversely proportional to the excess... Problem 33MP: Compare the temperatures of your cup of coffee at time t (a) if you add cream and let the mixture... Problem 34MP: A flexible chain of length l is hung over a peg with one end of the chain slightly longer than the... Problem 35MP: A raindrop falls through a cloud, increasing in size as it picks up moisture. Assume that its shape... Problem 36MP: (a) A rocket of (variable) mass m is propelled by steadily ejecting part of its mass at velocity u... Problem 37MP: The differential equation for the path of a planet around the sun (or any object in an inverse... Problem 38MP: Use L15 and L31 to find the Laplace transform of (1cosat)/t. Problem 39MP: Use L32 and L9 to find the Laplace transform of t sinh at. Verify your result by finding its inverse... Problem 40MP: Use the Laplace transform table to evaluate: 0t3e4tsinh2tdt Problem 41MP: Use the Laplace transform table to evaluate: n=0(1)nnn+1te2tdt Problem 42MP: Find the inverse Laplace transform of: p(p+a)3 Problem 43MP: Find the inverse Laplace transform of: p2p2+a22 Problem 44MP: Find the inverse Laplace transform of: 1p2+a23 Problem 45MP: Prove the following shifting or translation theorems for Fourier transforms. If g() is the Fourier... Problem 46MP: Use the table of Laplace transforms to find the sine and cosine Fourier transforms of ex; of xex. Problem 47MP: Solve Problems 47 and 48 either by Laplace transforms and the convolution integral or by Green... Problem 48MP: Solve Problems 47 and 48 either by Laplace transforms and the convolution integral or by Green... format_list_bulleted