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How can i solve below equation with ndsolver ?

dp/dt = a * d^2p/dx^2 * cos^2 (theta) + b d^2p/dt^2 + c d^2p /d(theta)^2

where a , b, c are constant. d^2p/dx^2 is second derivative with respect to x. theta is angle.

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# Problem with ndsolve

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